118:@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
Factorización de trinomios:@0.286308:0.063945:0.748151:0.063945:0.748151:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las formas :@0.286308:0.094120:0.524004:0.094120:0.524004:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.524004:0.094120:0.541735:0.094120:0.541735:0.057820:0.524004:0.057820:0.000000
2:@0.543745:0.094120:0.556249:0.094120:0.556249:0.057850:0.543745:0.057850:0.000000
+ :@0.564572:0.094120:0.596857:0.094120:0.596857:0.057246:0.564572:0.057246:0.000000:0.000000
bx  c; ax:@0.596857:0.094120:0.748835:0.094120:0.748835:0.057820:0.596857:0.057820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ :@0.643013:0.094120:0.675298:0.094120:0.675298:0.057246:0.643013:0.057246:0.000000:0.000000
2:@0.750845:0.094120:0.763349:0.094120:0.763349:0.057850:0.750845:0.057850:0.000000
+ :@0.771672:0.094120:0.803957:0.094120:0.803957:0.057246:0.771672:0.057246:0.000000:0.000000
bx  c:@0.803957:0.094120:0.899405:0.094120:0.899405:0.057820:0.803957:0.057820:0.000000:0.000000:0.000000:0.000000:0.000000
+ :@0.850113:0.094120:0.882398:0.094120:0.882398:0.057246:0.850113:0.057246:0.000000:0.000000
A más de los trinomios cuadrados perfectos, se pueden presentar otros trinomios :@0.287495:0.153866:0.907160:0.153866:0.907160:0.137477:0.287495:0.137477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factorizables, que se pueden expresar como el producto de dos binomios. Solo hace :@0.287495:0.170462:0.907104:0.170462:0.907104:0.154073:0.287495:0.154073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
falta recordar los productos notables. :@0.287495:0.187059:0.563003:0.187059:0.563003:0.170670:0.287495:0.170670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el desarrollo del producto notable (  +  )(  +  ) =  ² + (  +  )x +  , se obtiene un :@0.287495:0.211165:0.907088:0.211165:0.907088:0.194776:0.287495:0.194776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.567448:0.211165:0.574911:0.211165:0.574911:0.194804:0.567448:0.194804:0.000000
a x:@0.593523:0.211165:0.620022:0.211165:0.620022:0.194804:0.593523:0.194804:0.000000:0.000000:0.000000
b:@0.638634:0.211165:0.647903:0.211165:0.647903:0.194804:0.638634:0.194804:0.000000
x:@0.671398:0.211165:0.678862:0.211165:0.678862:0.194804:0.671398:0.194804:0.000000
a:@0.708567:0.211165:0.717836:0.211165:0.717836:0.194804:0.708567:0.194804:0.000000
b:@0.736448:0.211165:0.745717:0.211165:0.745717:0.194804:0.736448:0.194804:0.000000
ab:@0.777118:0.211165:0.795656:0.211165:0.795656:0.194804:0.777118:0.194804:0.000000:0.000000
trinomio de la forma  ² +   +  . Para ello, se hace   +   =   y :@0.287495:0.228135:0.741348:0.228135:0.741348:0.211746:0.287495:0.211746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.442896:0.228135:0.450359:0.228135:0.450359:0.211773:0.442896:0.211773:0.000000
px:@0.476158:0.228135:0.492724:0.228135:0.492724:0.211773:0.476158:0.211773:0.000000:0.000000
q:@0.512331:0.228135:0.521600:0.228135:0.521600:0.211773:0.512331:0.211773:0.000000
a:@0.657871:0.228135:0.667140:0.228135:0.667140:0.211773:0.657871:0.211773:0.000000
b:@0.686747:0.228135:0.696016:0.228135:0.696016:0.211773:0.686747:0.211773:0.000000
p ab:@0.715623:0.228135:0.760162:0.228135:0.760162:0.211773:0.715623:0.211773:0.000000:0.000000:0.000000:0.000000
 =  ; por lo tanto, la :@0.760162:0.228135:0.907123:0.228135:0.907123:0.211746:0.760162:0.211746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.779769:0.228135:0.789039:0.228135:0.789039:0.211773:0.779769:0.211773:0.000000
relación entre productos notables y factorización es directa. :@0.287495:0.244731:0.727595:0.244731:0.727595:0.228342:0.287495:0.228342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En este tema analizaremos los trinomios de la forma  ² +   +  ,  ² +   +  .:@0.287495:0.268837:0.844010:0.268837:0.844010:0.252448:0.287495:0.252448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.672294:0.268837:0.679757:0.268837:0.679757:0.252476:0.672294:0.252476:0.000000
bx:@0.705010:0.268837:0.721577:0.268837:0.721577:0.252476:0.705010:0.252476:0.000000:0.000000
c ax:@0.740631:0.268837:0.772271:0.268837:0.772271:0.252476:0.740631:0.252476:0.000000:0.000000:0.000000:0.000000
bx:@0.797517:0.268837:0.814084:0.268837:0.814084:0.252476:0.797517:0.252476:0.000000:0.000000
c:@0.833138:0.268837:0.840804:0.268837:0.840804:0.252476:0.833138:0.252476:0.000000
Trinomios de la forma  ² + :@0.287494:0.301590:0.554789:0.301590:0.554789:0.280080:0.287494:0.280080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.512221:0.301590:0.523291:0.301590:0.523291:0.280080:0.512221:0.280080:0.000000
bx:@0.554789:0.301590:0.578360:0.301590:0.578360:0.280080:0.554789:0.280080:0.000000:0.000000
 + :@0.578362:0.301590:0.602050:0.301590:0.602050:0.280080:0.578362:0.280080:0.000000:0.000000:0.000000
c:@0.602050:0.301590:0.612135:0.301590:0.612135:0.280080:0.602050:0.280080:0.000000
Para evitar la radiación producida por los rayos gamma, se ha construido una placa :@0.287494:0.324371:0.907086:0.324371:0.907086:0.307982:0.287494:0.307982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de plomo cuya área ha sido representada por la expresión  ² + 5  – 24 . ¿Cuál es la :@0.287494:0.341341:0.907049:0.341341:0.907049:0.324952:0.287494:0.324952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.724616:0.341341:0.732079:0.341341:0.732079:0.324980:0.724616:0.324980:0.000000
x:@0.768087:0.341341:0.775550:0.341341:0.775550:0.324980:0.768087:0.324980:0.000000
expresión que representa el largo y el ancho de la placa?:@0.287494:0.357937:0.701006:0.357937:0.701006:0.341548:0.287494:0.341548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para responder la interrogante, debemos recordar que un trinomio de la forma :@0.287494:0.382043:0.907175:0.382043:0.907175:0.365655:0.287494:0.365655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.287494:0.399013:0.294957:0.399013:0.294957:0.382652:0.287494:0.382652:0.000000
² +   +   se obtiene a partir del producto de dos binomios que tienen como térmi-:@0.294957:0.399013:0.903106:0.399013:0.903106:0.382624:0.294957:0.382624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.318950:0.399013:0.335516:0.399013:0.335516:0.382652:0.318950:0.382652:0.000000:0.000000
c:@0.354239:0.399013:0.361905:0.399013:0.361905:0.382652:0.354239:0.382652:0.000000
no común una letra con coeficiente 1. Por lo tanto, revisemos la forma de factorizar :@0.287494:0.415610:0.907213:0.415610:0.907213:0.399221:0.287494:0.399221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
este trinomio.:@0.287494:0.432206:0.388273:0.432206:0.388273:0.415817:0.287494:0.415817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La factorización de un trinomio  de la  forma :@0.296992:0.471991:0.655889:0.471991:0.655889:0.455602:0.296992:0.455602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.661855:0.471781:0.669318:0.471781:0.669318:0.455420:0.661855:0.455420:0.000000
bxc:@0.693366:0.471781:0.734846:0.471781:0.734846:0.455420:0.693366:0.455420:0.000000:0.000000:0.000000
2:@0.670963:0.464129:0.676174:0.464129:0.676174:0.454630:0.670963:0.454630:0.000000
+:@0.680492:0.472459:0.690608:0.472459:0.690608:0.456886:0.680492:0.456886:0.000000
+:@0.713938:0.472459:0.724055:0.472459:0.724055:0.456886:0.713938:0.456886:0.000000
 corresponde  a dos :@0.736423:0.471991:0.897637:0.471991:0.897637:0.455602:0.736423:0.455602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factores. Los dos contendrán la raíz cuadrada del primer término del trinomio. A :@0.296997:0.488587:0.897701:0.488587:0.897701:0.472198:0.296997:0.472198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
continuación del primer término, en el primer paréntesis irá el signo del :@0.296997:0.505184:0.897683:0.505184:0.897683:0.488795:0.296997:0.488795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo término del trinomio, mientras que luego del primer término del :@0.296997:0.521780:0.897681:0.521780:0.897681:0.505391:0.296997:0.505391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo paréntesis irá el signo que resulte de multiplicar los signos del segundo :@0.296997:0.538376:0.897630:0.538376:0.897630:0.521987:0.296997:0.521987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y tercer términos. Luego se buscarán dos términos que sumados :@0.296997:0.554973:0.897609:0.554973:0.897609:0.538584:0.296997:0.538584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algebraicamente den el coeficiente   y que multiplicados algebraicamente den  . :@0.296997:0.571569:0.883236:0.571569:0.883236:0.555180:0.296997:0.555180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.553492:0.571569:0.562761:0.571569:0.562761:0.555208:0.553492:0.555208:0.000000
c:@0.868510:0.571569:0.876176:0.571569:0.876176:0.555208:0.868510:0.555208:0.000000
x:@0.297545:0.596817:0.305008:0.596817:0.305008:0.580456:0.297545:0.580456:0.000000
bxc:@0.329056:0.596817:0.370540:0.596817:0.370540:0.580456:0.329056:0.580456:0.000000:0.000000:0.000000
xd xe:@0.395657:0.596817:0.478471:0.596817:0.478471:0.580456:0.395657:0.580456:0.000000:0.000000:0.000000:0.000000:0.000000
db c:@0.320012:0.618143:0.379828:0.618143:0.379828:0.601782:0.320012:0.601782:0.000000:0.000000:0.000000:0.000000
y:@0.398864:0.618143:0.406345:0.618143:0.406345:0.601782:0.398864:0.601782:0.000000
eb c:@0.424884:0.618143:0.475062:0.618143:0.475062:0.601782:0.424884:0.601782:0.000000:0.000000:0.000000:0.000000
2:@0.306642:0.589146:0.311853:0.589146:0.311853:0.580064:0.306642:0.580064:0.000000
(:@0.387328:0.599366:0.393464:0.599366:0.393464:0.578966:0.387328:0.578966:0.000000
)(:@0.431296:0.599366:0.443864:0.599366:0.443864:0.578966:0.431296:0.578966:0.000000:0.000000
):@0.479761:0.599366:0.485897:0.599366:0.485897:0.578966:0.479761:0.578966:0.000000
+:@0.316182:0.597495:0.326299:0.597495:0.326299:0.581922:0.316182:0.581922:0.000000
+ =:@0.349628:0.597495:0.384457:0.597495:0.384457:0.581922:0.349628:0.581922:0.000000:0.000000:0.000000
+:@0.407012:0.597495:0.417129:0.597495:0.417129:0.581922:0.407012:0.581922:0.000000
+:@0.457430:0.597495:0.467547:0.597495:0.467547:0.581922:0.457430:0.581922:0.000000
=+:@0.333412:0.618821:0.369033:0.618821:0.369033:0.603248:0.333412:0.603248:0.000000:0.000000
=⋅:@0.436330:0.618821:0.465649:0.618821:0.465649:0.603248:0.436330:0.603248:0.000000:0.000000
      :@0.498026:0.623897:0.522240:0.623897:0.522240:0.607508:0.498026:0.607508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Siempre que  :@0.522240:0.606291:0.623832:0.606291:0.623832:0.589902:0.522240:0.589902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de:@0.623823:0.605896:0.658430:0.605896:0.658430:0.589535:0.623823:0.589535:0.000000:0.000000
>:@0.637220:0.606574:0.647337:0.606574:0.647337:0.591001:0.637220:0.591001:0.000000
En el trinomio :@0.287494:0.666740:0.394446:0.666740:0.394446:0.650352:0.287494:0.650352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.398530:0.666740:0.405994:0.666740:0.405994:0.650379:0.398530:0.650379:0.000000
x:@0.439882:0.666740:0.447345:0.666740:0.447345:0.650379:0.439882:0.650379:0.000000
5:@0.430042:0.666740:0.439034:0.666740:0.439034:0.650352:0.430042:0.650352:0.000000
24, que representa el área de la placa, tenemos::@0.464114:0.666740:0.810743:0.666740:0.810743:0.650352:0.464114:0.650352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.407639:0.659078:0.412850:0.659078:0.412850:0.649580:0.407639:0.649580:0.000000
+:@0.417167:0.667418:0.427284:0.667418:0.427284:0.651845:0.417167:0.651845:0.000000
−:@0.451240:0.667418:0.461357:0.667418:0.461357:0.651845:0.451240:0.651845:0.000000
x:@0.291583:0.691718:0.299046:0.691718:0.299046:0.675357:0.291583:0.675357:0.000000
x:@0.332935:0.691718:0.340398:0.691718:0.340398:0.675357:0.332935:0.675357:0.000000
x:@0.399892:0.691722:0.407355:0.691722:0.407355:0.675360:0.399892:0.675360:0.000000
x:@0.448781:0.691722:0.456244:0.691722:0.456244:0.675360:0.448781:0.675360:0.000000
5:@0.323093:0.691722:0.332085:0.691722:0.332085:0.675333:0.323093:0.675333:0.000000
24:@0.357165:0.691722:0.374966:0.691722:0.374966:0.675333:0.357165:0.675333:0.000000:0.000000
8:@0.424131:0.691722:0.433124:0.691722:0.433124:0.675333:0.424131:0.675333:0.000000
3:@0.473038:0.691722:0.482031:0.691722:0.482031:0.675333:0.473038:0.675333:0.000000
2:@0.300686:0.684061:0.305898:0.684061:0.305898:0.674563:0.300686:0.674563:0.000000
(:@0.391568:0.694271:0.397704:0.694271:0.397704:0.673870:0.391568:0.673870:0.000000
)(:@0.434025:0.694271:0.446601:0.694271:0.446601:0.673870:0.434025:0.673870:0.000000:0.000000
):@0.482130:0.694271:0.488266:0.694271:0.488266:0.673870:0.482130:0.673870:0.000000
+:@0.310215:0.692399:0.320332:0.692399:0.320332:0.676826:0.310215:0.676826:0.000000
−:@0.344288:0.692399:0.354404:0.692399:0.354404:0.676826:0.344288:0.676826:0.000000
=:@0.378582:0.692399:0.388698:0.692399:0.388698:0.676826:0.378582:0.676826:0.000000
+:@0.411254:0.692399:0.421371:0.692399:0.421371:0.676826:0.411254:0.676826:0.000000
−:@0.460142:0.692399:0.470259:0.692399:0.470259:0.676826:0.460142:0.676826:0.000000
, puesto que 8 – 3 = 5  y  (+8)(–3) = –24  :@0.487010:0.694239:0.781795:0.694239:0.781795:0.677850:0.487010:0.677850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo: :@0.287475:0.722992:0.354312:0.722992:0.354312:0.706354:0.287475:0.706354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factoriza el trinomio: :@0.287475:0.754262:0.444164:0.754262:0.444164:0.737873:0.287475:0.737873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.448238:0.753004:0.455701:0.753004:0.455701:0.736643:0.448238:0.736643:0.000000
xy:@0.490751:0.753004:0.505533:0.753001:0.505533:0.736640:0.490751:0.736643:0.000000:0.000000
y:@0.532493:0.753001:0.539974:0.753001:0.539974:0.736640:0.532493:0.736640:0.000000
6:@0.480140:0.753001:0.489132:0.753001:0.489132:0.736612:0.480140:0.736612:0.000000
7:@0.521860:0.753001:0.530852:0.753001:0.530852:0.736612:0.521860:0.736612:0.000000
2:@0.457375:0.745339:0.462586:0.745339:0.462586:0.735841:0.457375:0.735841:0.000000
2:@0.541605:0.745339:0.546817:0.745339:0.546817:0.735841:0.541605:0.735841:0.000000
+:@0.466902:0.753679:0.477019:0.753679:0.477019:0.738106:0.466902:0.738106:0.000000
−:@0.509414:0.753679:0.519531:0.753679:0.519531:0.738106:0.509414:0.738106:0.000000
Solución:@0.287494:0.781547:0.351272:0.781547:0.351272:0.764909:0.287494:0.764909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicamos  el  proceso  para  la  factorización  de  trinomios  de  esta  forma::@0.287494:0.805266:0.903082:0.805266:0.903082:0.788877:0.287494:0.788877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.291585:0.846840:0.299048:0.846840:0.299048:0.830479:0.291585:0.830479:0.000000
xy:@0.334097:0.846840:0.348858:0.846840:0.348858:0.830479:0.334097:0.830479:0.000000:0.000000
y:@0.375817:0.846840:0.383299:0.846840:0.383299:0.830479:0.375817:0.830479:0.000000
x:@0.416285:0.846840:0.423748:0.846840:0.423748:0.830479:0.416285:0.830479:0.000000
y xy:@0.450726:0.846840:0.508205:0.846849:0.508205:0.830488:0.450726:0.830479:0.000000:0.000000:0.000000:0.000000
6:@0.323459:0.846849:0.332452:0.846849:0.332452:0.830460:0.323459:0.830460:0.000000
7:@0.365180:0.846849:0.374172:0.846849:0.374172:0.830460:0.365180:0.830460:0.000000
7:@0.440106:0.846849:0.449099:0.846849:0.449099:0.830460:0.440106:0.830460:0.000000
2:@0.300686:0.839188:0.305898:0.839188:0.305898:0.829690:0.300686:0.829690:0.000000
2:@0.384917:0.839188:0.390128:0.839188:0.390128:0.829690:0.384917:0.829690:0.000000
(:@0.407955:0.849398:0.414092:0.849398:0.414092:0.828998:0.407955:0.828998:0.000000
)(:@0.460253:0.849398:0.472839:0.849398:0.472839:0.828998:0.460253:0.828998:0.000000:0.000000
):@0.510265:0.849398:0.516402:0.849398:0.516402:0.828998:0.510265:0.828998:0.000000
+:@0.310215:0.847526:0.320332:0.847526:0.320332:0.831954:0.310215:0.831954:0.000000
−:@0.352728:0.847526:0.362844:0.847526:0.362844:0.831954:0.352728:0.831954:0.000000
=:@0.394964:0.847526:0.405080:0.847526:0.405080:0.831954:0.394964:0.831954:0.000000
+:@0.427636:0.847526:0.437753:0.847526:0.437753:0.831954:0.427636:0.831954:0.000000
−:@0.486365:0.847526:0.496482:0.847526:0.496482:0.831954:0.486365:0.831954:0.000000
Porque: 7:@0.287475:0.893153:0.358447:0.893159:0.358447:0.876770:0.287475:0.876764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
yy:@0.360062:0.893153:0.393250:0.893153:0.393250:0.876791:0.360062:0.876791:0.000000:0.000000
y:@0.422052:0.893153:0.429534:0.893153:0.429534:0.876791:0.422052:0.876791:0.000000
y:@0.502931:0.893153:0.510413:0.893153:0.510413:0.876791:0.502931:0.876791:0.000000
y:@0.535300:0.893159:0.542782:0.893159:0.542782:0.876798:0.535300:0.876798:0.000000
y:@0.586824:0.893159:0.594306:0.893159:0.594306:0.876798:0.586824:0.876798:0.000000
6:@0.411445:0.893159:0.420437:0.893159:0.420437:0.876770:0.411445:0.876770:0.000000
y( 7)(:@0.451064:0.893159:0.521974:0.893159:0.521974:0.876770:0.451064:0.876770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.544842:0.893159:0.549726:0.893159:0.549726:0.876770:0.544842:0.876770:0.000000
7:@0.576188:0.893159:0.585180:0.893159:0.585180:0.876770:0.576188:0.876770:0.000000
2:@0.595924:0.885498:0.601135:0.885498:0.601135:0.876000:0.595924:0.876000:0.000000
−=:@0.371442:0.893837:0.407781:0.893837:0.407781:0.878264:0.371442:0.878264:0.000000:0.000000
+:@0.482376:0.893837:0.492493:0.893837:0.492493:0.878264:0.482376:0.878264:0.000000
−:@0.523156:0.893837:0.533273:0.893837:0.533273:0.878264:0.523156:0.878264:0.000000
=−:@0.552475:0.893837:0.576357:0.893837:0.576357:0.878264:0.552475:0.878264:0.000000:0.000000
Las expresiones :@0.140512:0.626176:0.248663:0.626176:0.248663:0.611277:0.140512:0.611277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algebraicas se aplican en :@0.079533:0.641264:0.248665:0.641264:0.248665:0.626365:0.079533:0.626365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la planificación financiera :@0.076685:0.656351:0.248665:0.656351:0.248665:0.641452:0.076685:0.641452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(especialmente en temas :@0.077506:0.671439:0.248662:0.671439:0.248662:0.656540:0.077506:0.656540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de interés compuesto), :@0.091645:0.686527:0.248662:0.686527:0.248662:0.671628:0.091645:0.671628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y en la resolución de :@0.108096:0.701614:0.248663:0.701614:0.248663:0.686715:0.108096:0.686715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas financieros del :@0.072983:0.716702:0.248663:0.716702:0.248663:0.701803:0.072983:0.701803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mundo real.:@0.164937:0.731789:0.244995:0.731789:0.244995:0.716890:0.164937:0.716890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación :@0.142647:0.586537:0.224332:0.586537:0.224332:0.569637:0.142647:0.569637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiera:@0.145834:0.600368:0.220883:0.600368:0.220883:0.583467:0.145834:0.583467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.150727:0.600368:0.154350:0.600368:0.154350:0.583467:0.150727:0.583467:0.000000
©:@0.074387:0.805829:0.074387:0.800722:0.062305:0.800722:0.062305:0.805829:0.000000
Shutterstock:@0.074387:0.800722:0.074387:0.763004:0.062476:0.763004:0.062476:0.800722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La bicicleta es un medio :@0.082752:0.238560:0.247478:0.238560:0.247478:0.223661:0.082752:0.223661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de transporte alternativo :@0.078497:0.253648:0.247475:0.253648:0.247475:0.238749:0.078497:0.238749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada vez mas popular, por :@0.069769:0.268736:0.247476:0.268736:0.247476:0.253836:0.069769:0.253836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus beneficios para el :@0.101833:0.283823:0.247478:0.283823:0.247478:0.268924:0.101833:0.268924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
individuo y la naturaleza. :@0.079033:0.298911:0.247478:0.298911:0.247478:0.284012:0.079033:0.284012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No contamina, es :@0.127631:0.429473:0.247477:0.429473:0.247477:0.414574:0.127631:0.414574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
económico y es una :@0.109572:0.444560:0.247477:0.444560:0.247477:0.429661:0.109572:0.429661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.243807:0.444560:0.247476:0.444560:0.247476:0.429661:0.243807:0.429661:0.000000
forma de mantenerse :@0.099872:0.459648:0.247476:0.459648:0.247476:0.444749:0.099872:0.444749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
saludable.:@0.177117:0.474735:0.243807:0.474735:0.243807:0.459836:0.177117:0.459836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Seguridad vial:@0.129775:0.203268:0.238331:0.203268:0.238331:0.186367:0.129775:0.186367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.065868:0.366733:0.065868:0.361626:0.053787:0.361626:0.053787:0.366733:0.000000
Freepik:@0.065868:0.361626:0.065868:0.339975:0.053957:0.339975:0.053957:0.361626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 M.4.1.33. :@0.290067:0.965521:0.340832:0.965521:0.340832:0.954766:0.290067:0.954766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reconocer y calcular productos notables e identificar factores de expresiones algebraicas.:@0.340832:0.965521:0.757440:0.965521:0.757440:0.955091:0.340832:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.571269:0.965521:0.573837:0.965521:0.573837:0.955091:0.571269:0.955091:0.000000