106:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.º EGB:@0.120102:0.967458:0.170641:0.967458:0.170641:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Descomposición factorial: :@0.286308:0.063945:0.742965:0.063945:0.742965:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factor común:@0.286308:0.094120:0.517732:0.094120:0.517732:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Descomposición factorial :@0.286308:0.157638:0.547154:0.157638:0.547154:0.136128:0.286308:0.136128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La factorización es una herramienta matemática que simplifica, resuelve problemas :@0.286308:0.176856:0.907745:0.176856:0.907745:0.160467:0.286308:0.160467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y descompone números o expresiones en elementos más simples. :@0.286308:0.193452:0.777084:0.193452:0.777084:0.177063:0.286308:0.177063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En aritmética sabemos que si se descompone un número, como por ejemplo :@0.286308:0.217171:0.907614:0.217171:0.907614:0.200782:0.286308:0.200782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
35 75 , podemos decir que 7 y 5 son factores de 35.:@0.288821:0.234455:0.686961:0.233772:0.686961:0.217384:0.288821:0.218066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=×:@0.309349:0.234040:0.342611:0.234040:0.342611:0.217098:0.309349:0.217098:0.000000:0.000000
Al multiplicar  2:@0.286311:0.260271:0.404442:0.260011:0.404442:0.243622:0.286311:0.243882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6  obtenemos como resultado  2:@0.455966:0.260011:0.709865:0.260297:0.709865:0.243908:0.455966:0.243622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.433091:0.252350:0.438302:0.252350:0.438302:0.242852:0.433091:0.242852:0.000000
xx:@0.405240:0.260011:0.431499:0.260011:0.431499:0.243650:0.405240:0.243650:0.000000:0.000000
+:@0.442979:0.259596:0.453096:0.259596:0.453096:0.242654:0.442979:0.242654:0.000000
(:@0.415604:0.262984:0.421741:0.262984:0.421741:0.236368:0.415604:0.236368:0.000000
):@0.466133:0.262984:0.472269:0.262984:0.472269:0.236368:0.466133:0.236368:0.000000
12 , entonces pode-:@0.742593:0.260297:0.903652:0.260269:0.903652:0.243880:0.742593:0.243908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.722091:0.252638:0.727303:0.252638:0.727303:0.243140:0.722091:0.243140:0.000000
x:@0.713035:0.260299:0.720498:0.260299:0.720498:0.243938:0.713035:0.243938:0.000000
x:@0.761039:0.260299:0.768502:0.260299:0.768502:0.243938:0.761039:0.243938:0.000000
+:@0.731978:0.259884:0.742095:0.259884:0.742095:0.242942:0.731978:0.242942:0.000000
mos afirmar que 2  y :@0.286308:0.278331:0.447866:0.278330:0.447866:0.261941:0.286308:0.261942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
66  son factores de 2:@0.473425:0.278955:0.626095:0.277826:0.626095:0.261437:0.473425:0.262566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 2:@0.450550:0.271293:0.466061:0.271352:0.466061:0.261854:0.450550:0.261794:0.000000:0.000000:0.000000
xx x:@0.422699:0.278955:0.459256:0.279014:0.459256:0.262653:0.422699:0.262594:0.000000:0.000000:0.000000:0.000000
+:@0.460439:0.278540:0.470556:0.278540:0.470556:0.261598:0.460439:0.261598:0.000000
(:@0.433065:0.281927:0.439202:0.281927:0.439202:0.255311:0.433065:0.255311:0.000000
):@0.483594:0.281927:0.489730:0.281927:0.489730:0.255311:0.483594:0.255311:0.000000
+:@0.470745:0.278599:0.480862:0.278599:0.480862:0.261657:0.470745:0.261657:0.000000
12 .:@0.658822:0.277826:0.691975:0.278324:0.691975:0.261935:0.658822:0.261437:0.000000:0.000000:0.000000:0.000000
3:@0.638322:0.270165:0.643534:0.270165:0.643534:0.260667:0.638322:0.260667:0.000000
x:@0.629266:0.277826:0.636729:0.277826:0.636729:0.261465:0.629266:0.261465:0.000000
x:@0.677270:0.277826:0.684733:0.277826:0.684733:0.261465:0.677270:0.261465:0.000000
+:@0.648210:0.277411:0.658326:0.277411:0.658326:0.260469:0.648210:0.260469:0.000000
En general, factorizar una expresión algebraica quiere decir hallar dos o más factores, :@0.286309:0.302043:0.907593:0.302043:0.907593:0.285654:0.286309:0.285654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuyo producto sea igual  a la expresión inicialmente dada; es decir, cuando :@0.286309:0.318639:0.907752:0.318639:0.907752:0.302250:0.286309:0.302250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un binomio, trinomio o polinomio puede ser expresado mediante dos o más :@0.286309:0.335235:0.907632:0.335235:0.907632:0.318847:0.286309:0.318847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factores, se dice que es factorizable.:@0.286309:0.351832:0.547147:0.351832:0.547147:0.335443:0.286309:0.335443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Veamos algunos casos de factorización.:@0.286309:0.375551:0.575325:0.375551:0.575325:0.359162:0.286309:0.359162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factor común:@0.286308:0.401115:0.404995:0.401115:0.404995:0.382678:0.286308:0.382678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las letras y/o números que se repiten entre los términos de una expresión toman :@0.286308:0.424526:0.907759:0.424526:0.907759:0.408138:0.286308:0.408138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el nombre de factor común de estas expresiones.:@0.286308:0.441123:0.646800:0.441123:0.646800:0.424734:0.286308:0.424734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El factor común es el máximo común divisor (MCD) de los términos que componen :@0.286308:0.464842:0.907706:0.464842:0.907706:0.448453:0.286308:0.448453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el polinomio (factores que se repiten elevados al menor exponente).:@0.286308:0.481438:0.786465:0.481438:0.786465:0.465049:0.286308:0.465049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una vez determinado el factor común del polinomio que se factorizará, se divide el :@0.286308:0.505157:0.907741:0.505157:0.907741:0.488768:0.286308:0.488768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factor común para cada término del polinomio y se aplica la propiedad distributiva.:@0.286308:0.521754:0.895927:0.521754:0.895927:0.505365:0.286308:0.505365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos::@0.286308:0.545472:0.356664:0.545472:0.356664:0.528835:0.286308:0.528835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  :@0.286308:0.566204:0.308845:0.566204:0.308845:0.549303:0.286308:0.549303:0.000000:0.000000:0.000000:0.000000
Factoriza   4:@0.310042:0.566204:0.395197:0.566906:0.395197:0.550517:0.310042:0.549815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.448250:0.566906:0.457242:0.566906:0.457242:0.550517:0.448250:0.550517:0.000000
8:@0.509706:0.566906:0.518699:0.566906:0.518699:0.550517:0.509706:0.550517:0.000000
42:@0.410234:0.559245:0.430888:0.559245:0.430888:0.549747:0.410234:0.549747:0.000000:0.000000
33:@0.471951:0.559245:0.492296:0.559245:0.492296:0.549747:0.471951:0.549747:0.000000:0.000000
24:@0.533416:0.559245:0.554070:0.559245:0.554070:0.549747:0.533416:0.549747:0.000000:0.000000
mn:@0.395418:0.566906:0.425860:0.566906:0.425860:0.550544:0.395418:0.550544:0.000000:0.000000
mn:@0.457445:0.566906:0.487261:0.566906:0.487261:0.550544:0.457445:0.550544:0.000000:0.000000
mn:@0.518901:0.566906:0.548717:0.566906:0.548717:0.550544:0.518901:0.550544:0.000000:0.000000
−:@0.435553:0.566491:0.445670:0.566491:0.445670:0.549549:0.435553:0.549549:0.000000
+:@0.496954:0.566491:0.507071:0.566491:0.507071:0.549549:0.496954:0.549549:0.000000
Solución::@0.286308:0.593511:0.353974:0.593511:0.353974:0.576874:0.286308:0.576874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.   Determinamos el factor :@0.306141:0.618662:0.489509:0.618662:0.489509:0.603763:0.306141:0.603763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
común.:@0.329879:0.632493:0.380773:0.632493:0.380773:0.617594:0.329879:0.617594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.671844:0.627464:0.680837:0.627464:0.680837:0.611075:0.671844:0.611075:0.000000
22:@0.694982:0.619801:0.715327:0.619801:0.715327:0.610303:0.694982:0.610303:0.000000:0.000000
mn:@0.680482:0.627464:0.710297:0.627464:0.710297:0.611102:0.680482:0.611102:0.000000:0.000000
2.   Dividimos cada término :@0.306141:0.669167:0.491318:0.669167:0.491318:0.654268:0.306141:0.654268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para el factor común.:@0.329879:0.684255:0.471435:0.684255:0.471435:0.669356:0.329879:0.669356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   4:@0.606510:0.655376:0.628799:0.655376:0.628799:0.638987:0.606510:0.638987:0.000000:0.000000:0.000000:0.000000
  8:@0.606510:0.700561:0.624192:0.700561:0.624192:0.684172:0.606510:0.684172:0.000000:0.000000:0.000000
2:@0.681317:0.655376:0.690310:0.655376:0.690310:0.638987:0.681317:0.638987:0.000000
2:@0.743142:0.655376:0.752135:0.655376:0.752135:0.638987:0.743142:0.638987:0.000000
6:@0.616286:0.677974:0.625279:0.677974:0.625279:0.661585:0.616286:0.661585:0.000000
2:@0.677171:0.677974:0.686164:0.677974:0.686164:0.661585:0.677171:0.661585:0.000000
3:@0.749629:0.677974:0.758621:0.677974:0.758621:0.661585:0.749629:0.661585:0.000000
2:@0.676711:0.700561:0.685703:0.700561:0.685703:0.684172:0.676711:0.684172:0.000000
4:@0.739107:0.700561:0.748099:0.700561:0.748099:0.684172:0.739107:0.684172:0.000000
42:@0.643836:0.647715:0.664490:0.647715:0.664490:0.638217:0.643836:0.638217:0.000000:0.000000
22:@0.704453:0.647715:0.724798:0.647715:0.724798:0.638217:0.704453:0.638217:0.000000:0.000000
2:@0.766278:0.647715:0.771490:0.647715:0.771490:0.638217:0.766278:0.638217:0.000000
33:@0.640002:0.670310:0.660346:0.670310:0.660346:0.660812:0.640002:0.660812:0.000000:0.000000
22:@0.700310:0.670310:0.720654:0.670310:0.720654:0.660812:0.700310:0.660812:0.000000:0.000000
24:@0.638902:0.692905:0.659556:0.692905:0.659556:0.683407:0.638902:0.683407:0.000000:0.000000
22:@0.699840:0.692905:0.720185:0.692905:0.720185:0.683407:0.699840:0.683407:0.000000:0.000000
2:@0.757638:0.692905:0.762850:0.692905:0.762850:0.683407:0.757638:0.683407:0.000000
mn:@0.629020:0.655376:0.659462:0.655376:0.659462:0.639014:0.629020:0.639014:0.000000:0.000000
mn:@0.689960:0.655376:0.719776:0.655376:0.719776:0.639014:0.689960:0.639014:0.000000:0.000000
m:@0.751785:0.655376:0.766416:0.655376:0.766416:0.639014:0.751785:0.639014:0.000000
mn:@0.625519:0.677974:0.655335:0.677974:0.655335:0.661613:0.625519:0.661613:0.000000:0.000000
mn:@0.685832:0.677974:0.715648:0.677974:0.715648:0.661613:0.685832:0.661613:0.000000:0.000000
mn:@0.758290:0.677974:0.782467:0.677974:0.782467:0.661613:0.758290:0.661613:0.000000:0.000000
mn:@0.624413:0.700561:0.654229:0.700561:0.654229:0.684199:0.624413:0.684199:0.000000:0.000000
mn:@0.685353:0.700561:0.715169:0.700561:0.715169:0.684199:0.685353:0.684199:0.000000:0.000000
n:@0.748339:0.700561:0.757847:0.700561:0.757847:0.684199:0.748339:0.684199:0.000000
÷:@0.669192:0.654962:0.679309:0.654962:0.679309:0.638020:0.669192:0.638020:0.000000
=:@0.730132:0.654962:0.740249:0.654962:0.740249:0.638020:0.730132:0.638020:0.000000
−:@0.606247:0.677553:0.616363:0.677553:0.616363:0.660611:0.606247:0.660611:0.000000
÷:@0.665031:0.677553:0.675148:0.677553:0.675148:0.660611:0.665031:0.660611:0.000000
=−:@0.725971:0.677553:0.749706:0.677553:0.749706:0.660611:0.725971:0.660611:0.000000:0.000000
÷:@0.664567:0.700146:0.674684:0.700146:0.674684:0.683204:0.664567:0.683204:0.000000
=:@0.725507:0.700146:0.735624:0.700146:0.735624:0.683204:0.725507:0.683204:0.000000
3.   Aplicamos la propiedad :@0.306141:0.720929:0.490080:0.720929:0.490080:0.706030:0.306141:0.706030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distributiva.:@0.329879:0.734759:0.407392:0.734759:0.407392:0.719860:0.329879:0.719860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.510758:0.726300:0.519751:0.726300:0.519751:0.709911:0.510758:0.709911:0.000000
6:@0.572804:0.726300:0.581797:0.726300:0.581797:0.709911:0.572804:0.709911:0.000000
8:@0.634260:0.726300:0.643253:0.726300:0.643253:0.709911:0.634260:0.709911:0.000000
2:@0.697301:0.726300:0.706294:0.726300:0.706294:0.709911:0.697301:0.709911:0.000000
2:@0.751257:0.726300:0.760250:0.726300:0.760250:0.709911:0.751257:0.709911:0.000000
3:@0.796700:0.726300:0.805692:0.726300:0.805692:0.709911:0.796700:0.709911:0.000000
4:@0.845127:0.726300:0.854120:0.726300:0.854120:0.709911:0.845127:0.709911:0.000000
42:@0.534788:0.718639:0.555442:0.718639:0.555442:0.709141:0.534788:0.709141:0.000000:0.000000
33:@0.596505:0.718639:0.616850:0.718639:0.616850:0.709141:0.596505:0.709141:0.000000:0.000000
24:@0.657967:0.718639:0.678621:0.718639:0.678621:0.709141:0.657967:0.709141:0.000000:0.000000
22:@0.720421:0.718639:0.740766:0.718639:0.740766:0.709141:0.720421:0.709141:0.000000:0.000000
2:@0.774396:0.718639:0.779608:0.718639:0.779608:0.709141:0.774396:0.709141:0.000000
2:@0.863657:0.718639:0.868868:0.718639:0.868868:0.709141:0.863657:0.709141:0.000000
mn:@0.519972:0.726300:0.550414:0.726300:0.550414:0.709939:0.519972:0.709939:0.000000:0.000000
mn:@0.581999:0.726300:0.611815:0.726300:0.611815:0.709939:0.581999:0.709939:0.000000:0.000000
mn:@0.643455:0.726300:0.673271:0.726300:0.673271:0.709939:0.643455:0.709939:0.000000:0.000000
mn:@0.705907:0.726300:0.735723:0.726300:0.735723:0.709939:0.705907:0.709939:0.000000:0.000000
m:@0.759881:0.726300:0.774513:0.726300:0.774513:0.709939:0.759881:0.709939:0.000000
mn:@0.805324:0.726300:0.829482:0.726300:0.829482:0.709939:0.805324:0.709939:0.000000:0.000000
n:@0.854323:0.726300:0.863831:0.726300:0.863831:0.709939:0.854323:0.709939:0.000000
−:@0.560107:0.725885:0.570224:0.725885:0.570224:0.708943:0.560107:0.708943:0.000000
+:@0.621508:0.725885:0.631625:0.725885:0.631625:0.708943:0.621508:0.708943:0.000000
=:@0.684236:0.725885:0.694353:0.725885:0.694353:0.708943:0.684236:0.708943:0.000000
−:@0.784279:0.725885:0.794396:0.725885:0.794396:0.708943:0.784279:0.708943:0.000000
+:@0.831823:0.725885:0.841939:0.725885:0.841939:0.708943:0.831823:0.708943:0.000000
(:@0.744246:0.729273:0.750383:0.729273:0.750383:0.702657:0.744246:0.702657:0.000000
):@0.871876:0.729273:0.878012:0.729273:0.878012:0.702657:0.871876:0.702657:0.000000
b)  :@0.286308:0.765400:0.310153:0.765400:0.310153:0.748499:0.286308:0.748499:0.000000:0.000000:0.000000:0.000000
Factoriza   :@0.310042:0.765400:0.387142:0.765400:0.387142:0.749011:0.310042:0.749011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.396984:0.764985:0.431112:0.764985:0.431112:0.748623:0.396984:0.748623:0.000000:0.000000
ab:@0.478190:0.764983:0.512318:0.764983:0.512318:0.748622:0.478190:0.748622:0.000000:0.000000
+:@0.409138:0.764569:0.419255:0.764569:0.419255:0.747626:0.409138:0.747626:0.000000
(:@0.389663:0.766318:0.395800:0.766318:0.395800:0.744666:0.389663:0.744666:0.000000
):@0.432323:0.766318:0.438460:0.766318:0.438460:0.744666:0.432323:0.744666:0.000000
−:@0.448402:0.764569:0.458519:0.764569:0.458519:0.747626:0.448402:0.747626:0.000000
+:@0.490343:0.764569:0.500460:0.764569:0.500460:0.747626:0.490343:0.747626:0.000000
(:@0.470860:0.766318:0.476997:0.766318:0.476997:0.744666:0.470860:0.744666:0.000000
):@0.513520:0.766318:0.519657:0.766318:0.519657:0.744666:0.513520:0.744666:0.000000
2:@0.438508:0.755396:0.443720:0.755396:0.443720:0.745898:0.438508:0.745898:0.000000
3:@0.460809:0.764983:0.469802:0.764983:0.469802:0.748594:0.460809:0.748594:0.000000
Solución::@0.286299:0.785563:0.353966:0.785563:0.353966:0.768925:0.286299:0.768925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.   Determinamos el factor :@0.296223:0.810710:0.479592:0.810710:0.479592:0.795811:0.296223:0.795811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
común.:@0.319962:0.825798:0.370855:0.825798:0.370855:0.810899:0.319962:0.810899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.671315:0.817625:0.705443:0.817625:0.705443:0.801264:0.671315:0.801264:0.000000:0.000000
+:@0.683460:0.817210:0.693577:0.817210:0.693577:0.800268:0.683460:0.800268:0.000000
(:@0.663985:0.818960:0.670122:0.818960:0.670122:0.797308:0.663985:0.797308:0.000000
):@0.706645:0.818960:0.712782:0.818960:0.712782:0.797308:0.706645:0.797308:0.000000
2.   Dividimos cada término :@0.296223:0.856827:0.482912:0.856827:0.482912:0.841928:0.296223:0.841928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para el factor común.:@0.319962:0.871914:0.461518:0.871914:0.461518:0.857015:0.319962:0.857015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.611006:0.853567:0.645134:0.853567:0.645134:0.837205:0.611006:0.837205:0.000000:0.000000
ab:@0.681897:0.853567:0.716025:0.853567:0.716025:0.837205:0.681897:0.837205:0.000000:0.000000
ab:@0.739842:0.853567:0.773970:0.853567:0.773970:0.837205:0.739842:0.837205:0.000000:0.000000
ab:@0.631683:0.876590:0.665811:0.876590:0.665811:0.860229:0.631683:0.860229:0.000000:0.000000
ab:@0.695185:0.876590:0.729313:0.876590:0.729313:0.860229:0.695185:0.860229:0.000000:0.000000
+:@0.623151:0.853148:0.633268:0.853148:0.633268:0.836206:0.623151:0.836206:0.000000
(:@0.603677:0.854900:0.609813:0.854900:0.609813:0.833248:0.603677:0.833248:0.000000
) (:@0.646337:0.854900:0.680696:0.854900:0.680696:0.833248:0.646337:0.833248:0.000000:0.000000:0.000000
÷:@0.662414:0.853152:0.672531:0.853152:0.672531:0.836210:0.662414:0.836210:0.000000
+:@0.694036:0.853152:0.704153:0.853152:0.704153:0.836210:0.694036:0.836210:0.000000
):@0.717220:0.854900:0.723356:0.854900:0.723356:0.833248:0.717220:0.833248:0.000000
=+:@0.726544:0.853152:0.762109:0.853152:0.762109:0.836210:0.726544:0.836210:0.000000:0.000000
−:@0.604251:0.876175:0.614368:0.876175:0.614368:0.859233:0.604251:0.859233:0.000000
+:@0.643834:0.876175:0.653951:0.876175:0.653951:0.859233:0.643834:0.859233:0.000000
(:@0.624356:0.877925:0.630492:0.877925:0.630492:0.856273:0.624356:0.856273:0.000000
) (:@0.667016:0.877925:0.693994:0.877925:0.693994:0.856273:0.667016:0.856273:0.000000:0.000000:0.000000
÷:@0.675712:0.876175:0.685829:0.876175:0.685829:0.859233:0.675712:0.859233:0.000000
+:@0.707334:0.876175:0.717451:0.876175:0.717451:0.859233:0.707334:0.859233:0.000000
):@0.730518:0.877925:0.736654:0.877925:0.736654:0.856273:0.730518:0.856273:0.000000
=−:@0.739842:0.876175:0.763577:0.876175:0.763577:0.859233:0.739842:0.859233:0.000000:0.000000
2:@0.652520:0.843979:0.657732:0.843979:0.657732:0.834481:0.652520:0.834481:0.000000
3:@0.614303:0.876590:0.623296:0.876590:0.623296:0.860201:0.614303:0.860201:0.000000
3:@0.763511:0.876590:0.772504:0.876590:0.772504:0.860201:0.763511:0.860201:0.000000
3.   Aplicamos la propiedad :@0.296223:0.902943:0.481672:0.902943:0.481672:0.888044:0.296223:0.888044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distributiva.:@0.319962:0.918031:0.397475:0.918031:0.397475:0.903132:0.319962:0.903132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.554239:0.914043:0.589863:0.914043:0.589863:0.896965:0.554239:0.896965:0.000000:0.000000
ab:@0.638990:0.914043:0.674614:0.914043:0.674614:0.896965:0.638990:0.896965:0.000000:0.000000
ab ab:@0.706853:0.914043:0.792931:0.914043:0.792931:0.896965:0.706853:0.896965:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.566896:0.913610:0.577456:0.913610:0.577456:0.895926:0.566896:0.895926:0.000000
(:@0.546590:0.915426:0.508465:0.915426:0.508465:0.892825:0.546590:0.892825:0.000000
):@0.591120:0.915426:0.552995:0.915426:0.552995:0.892825:0.591120:0.892825:0.000000
−:@0.607888:0.913610:0.574669:0.913610:0.574669:0.895926:0.607888:0.895926:0.000000
+:@0.651668:0.913610:0.618449:0.913610:0.618449:0.895926:0.651668:0.895926:0.000000
(:@0.631345:0.915426:0.593220:0.915426:0.593220:0.892825:0.631345:0.892825:0.000000
):@0.675875:0.915426:0.637751:0.915426:0.637751:0.892825:0.675875:0.892825:0.000000
=:@0.685596:0.913610:0.696156:0.913610:0.696156:0.895926:0.685596:0.895926:0.000000
+:@0.719523:0.913610:0.730084:0.913610:0.730084:0.895926:0.719523:0.895926:0.000000
(:@0.699216:0.915426:0.661091:0.915426:0.661091:0.892825:0.699216:0.892825:0.000000
):@0.743746:0.915426:0.705621:0.915426:0.705621:0.892825:0.743746:0.892825:0.000000
+ − :@0.770492:0.913610:0.827199:0.913726:0.827199:0.896041:0.770492:0.895926:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.752411:0.913726:0.759797:0.913726:0.759797:0.896041:0.752411:0.896041:0.000000
:@0.752411:0.918447:0.759798:0.918447:0.759798:0.900762:0.752411:0.900762:0.000000
:@0.819813:0.918447:0.827199:0.918447:0.827199:0.900762:0.819813:0.900762:0.000000
2:@0.597574:0.904037:0.603014:0.904037:0.603014:0.894122:0.597574:0.894122:0.000000
3:@0.620840:0.914978:0.630227:0.914978:0.630227:0.897870:0.620840:0.897870:0.000000
3:@0.810790:0.915685:0.820176:0.915685:0.820176:0.898578:0.810790:0.898578:0.000000
Modelación de expresiones :@0.092802:0.310429:0.261184:0.310429:0.261184:0.297020:0.092802:0.297020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algebraicas.:@0.187743:0.324008:0.257882:0.324008:0.257882:0.310599:0.187743:0.310599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.072427:0.248864:0.077188:0.248864:0.077188:0.240986:0.072427:0.240986:0.000000
A:@0.105003:0.218292:0.109987:0.218292:0.109987:0.210540:0.105003:0.210540:0.000000
 :@0.109987:0.218292:0.111676:0.218292:0.111676:0.210470:0.109987:0.210470:0.000000
sen :@0.111954:0.218292:0.127397:0.218292:0.127397:0.210415:0.111954:0.210415:0.000000:0.000000:0.000000:0.000000
   :@0.127397:0.218634:0.134358:0.218634:0.134358:0.210791:0.127397:0.210791:0.000000:0.000000:0.000000
t:@0.134358:0.218292:0.137068:0.218292:0.137068:0.210540:0.134358:0.210540:0.000000
A:@0.110868:0.233819:0.115852:0.233819:0.115852:0.226066:0.110868:0.226066:0.000000
 :@0.115852:0.233819:0.117541:0.233819:0.117541:0.225996:0.115852:0.225996:0.000000
cos :@0.117819:0.233819:0.132660:0.233819:0.132660:0.225941:0.117819:0.225941:0.000000:0.000000:0.000000:0.000000
   :@0.132660:0.234160:0.139620:0.234160:0.139620:0.226317:0.132660:0.226317:0.000000:0.000000:0.000000
t:@0.139620:0.233819:0.142330:0.233819:0.142330:0.226066:0.139620:0.226066:0.000000
ω:@0.127539:0.218083:0.133375:0.218083:0.135770:0.210894:0.129934:0.210894:0.000000
ω:@0.132736:0.234051:0.138572:0.234051:0.140967:0.226861:0.135131:0.226861:0.000000
Matemática y física:@0.106343:0.434138:0.244165:0.434138:0.244165:0.418774:0.106343:0.418774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como la energía viaja en :@0.080259:0.452784:0.247832:0.452784:0.247832:0.437885:0.080259:0.437885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma de ondas, la :@0.121738:0.467872:0.247832:0.467872:0.247832:0.452973:0.121738:0.452973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática ha :@0.144304:0.482959:0.247834:0.482959:0.247834:0.468060:0.144304:0.468060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conseguido modelar este :@0.074011:0.498047:0.247830:0.498047:0.247830:0.483148:0.074011:0.483148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
movimiento con :@0.133197:0.513135:0.247832:0.513135:0.247832:0.498236:0.133197:0.498236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresiones algebraicas :@0.086022:0.528222:0.247834:0.528222:0.247834:0.513323:0.086022:0.513323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que muestran el tamaño :@0.079690:0.543310:0.247834:0.543310:0.247834:0.528411:0.079690:0.528411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la onda y la frecuencia :@0.074966:0.558398:0.247832:0.558398:0.247832:0.543499:0.074966:0.543499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con que se producen.:@0.098905:0.573485:0.244163:0.573485:0.244163:0.558586:0.098905:0.558586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.089535:0.404979:0.246742:0.404979:0.246742:0.388079:0.089535:0.388079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La práctica de conteo, :@0.097514:0.681743:0.247832:0.681743:0.247832:0.666844:0.097514:0.666844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vigente en algunas zonas :@0.075200:0.696830:0.247830:0.696830:0.247830:0.681931:0.075200:0.681931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los Andes, tiene :@0.118304:0.711918:0.247832:0.711918:0.247832:0.697019:0.118304:0.697019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relación con sus creencias. :@0.068482:0.727005:0.247832:0.727005:0.247832:0.712106:0.068482:0.712106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, el resultado :@0.079388:0.742093:0.247832:0.742093:0.247832:0.727194:0.079388:0.727194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del conteo de semillas :@0.095102:0.757181:0.247832:0.757181:0.247832:0.742282:0.095102:0.742282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
significa que tendrán :@0.103730:0.772268:0.247832:0.772268:0.247832:0.757369:0.103730:0.757369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
abundancia o deficiencia :@0.077127:0.787356:0.247834:0.787356:0.247834:0.772457:0.077127:0.772457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de producción en la :@0.110397:0.802443:0.247834:0.802443:0.247834:0.787544:0.110397:0.787544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agricultura, según :@0.124536:0.817531:0.247834:0.817531:0.247834:0.802632:0.124536:0.802632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se obtenga una cantidad :@0.077680:0.832619:0.247832:0.832619:0.247832:0.817720:0.077680:0.817720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
par o impar.:@0.164943:0.847706:0.244163:0.847706:0.244163:0.832807:0.164943:0.832807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Explica por qué los saberes :@0.076959:0.866352:0.247177:0.866352:0.247177:0.851478:0.076959:0.851478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ancestrales deben ser :@0.109878:0.881440:0.247180:0.881440:0.247180:0.866566:0.109878:0.866566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rescatados para tener una :@0.078752:0.896527:0.247179:0.896527:0.247179:0.881653:0.078752:0.881653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
patria sin exclusiones.:@0.107298:0.911615:0.244163:0.911615:0.244163:0.896741:0.107298:0.896741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Cívica:@0.154798:0.649019:0.206897:0.649019:0.206897:0.632118:0.154798:0.632118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.33. :@0.292682:0.960547:0.341019:0.960547:0.341019:0.949792:0.292682:0.949792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reconocer y calcular productos notables e identificar factores de expresiones algebraicas.:@0.341019:0.960547:0.757627:0.960547:0.757627:0.950117:0.341019:0.950117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.571457:0.960547:0.574025:0.960547:0.574025:0.950117:0.571457:0.950117:0.000000