﻿62:@0.048054:0.510692:0.066961:0.510692:0.066961:0.494068:0.048054:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Practica:@0.225148:0.201977:0.281202:0.201977:0.281202:0.186864:0.225148:0.186864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 lo :@0.281369:0.201977:0.301505:0.201977:0.301505:0.187078:0.281369:0.187078:0.000000:0.000000:0.000000:0.000000
aprendido  :@0.225148:0.217064:0.303516:0.217064:0.303516:0.202165:0.225148:0.202165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.225148:0.232152:0.236188:0.232152:0.236188:0.217253:0.225148:0.217253:0.000000:0.000000
resuelve:@0.236188:0.232152:0.294384:0.232152:0.294384:0.217039:0.236188:0.217039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los :@0.294384:0.232152:0.320434:0.232152:0.320434:0.217253:0.294384:0.217253:0.000000:0.000000:0.000000:0.000000:0.000000
ejercicios del enlace::@0.225148:0.247239:0.347675:0.247239:0.347675:0.232340:0.225148:0.232340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.164761:0.182544:0.184730:0.182544:0.184730:0.160818:0.164761:0.160818:0.000000:0.000000:0.000000
mayedu.ec/ctm9/p62:@0.164163:0.279710:0.307344:0.279710:0.307344:0.264585:0.164163:0.264585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En aritmética sabemos que, si se descompone un número, como por :@0.376903:0.172786:0.883460:0.172786:0.883460:0.156397:0.376903:0.156397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo: 35 = 7 × 5, podemos decir que 7 y 5 son factores de 35.:@0.376903:0.189382:0.849306:0.189382:0.849306:0.172993:0.376903:0.172993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al multiplicar (  + 3)(  – 3) obtenemos como resultado   – 9, entonces :@0.376903:0.209547:0.883465:0.209543:0.883465:0.193154:0.376903:0.193158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.478660:0.209547:0.486124:0.209547:0.486124:0.193186:0.478660:0.193186:0.000000
x:@0.523089:0.209547:0.530553:0.209547:0.530553:0.193186:0.523089:0.193186:0.000000
x:@0.767882:0.209547:0.775345:0.209547:0.775345:0.193186:0.767882:0.193186:0.000000
2:@0.774967:0.203496:0.780209:0.203496:0.780209:0.193941:0.774967:0.193941:0.000000
 :@0.879430:0.209543:0.883465:0.209543:0.883465:0.193154:0.879430:0.193154:0.000000
podemos afirmar que (  + 3) y (  – 3) son factores de   – 9.:@0.376908:0.226139:0.807024:0.226139:0.807024:0.209750:0.376908:0.209750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.545058:0.226139:0.552522:0.226139:0.552522:0.209778:0.545058:0.209778:0.000000
x:@0.606515:0.226139:0.613978:0.226139:0.613978:0.209778:0.606515:0.209778:0.000000
x:@0.764843:0.226139:0.772306:0.226139:0.772306:0.209778:0.764843:0.209778:0.000000
2:@0.772298:0.220092:0.777541:0.220092:0.777541:0.210537:0.772298:0.210537:0.000000
En general, factorizar una expresión algebraica es hallar dos o más :@0.376905:0.246304:0.883467:0.246304:0.883467:0.229915:0.376905:0.229915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factores cuyo producto sea igual a la expresión inicialmente dada; es :@0.376905:0.262900:0.883497:0.262900:0.883497:0.246511:0.376905:0.246511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decir cuando un binomio, trinomio o polinomio, puede ser expresa-:@0.376905:0.279497:0.879458:0.279497:0.879458:0.263108:0.376905:0.263108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
do mediante dos o más factores, es factorizable.:@0.376905:0.296093:0.727595:0.296093:0.727595:0.279704:0.376905:0.279704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicar las propiedades algebraicas de los números reales en la factorización de expresiones algebraicas. (Ref. M.5.1.1):@0.125388:0.074999:0.670224:0.074999:0.670224:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factorización de expresiones algebraicas :@0.115891:0.141978:0.729883:0.141978:0.729883:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
22:@0.043303:0.122645:0.087208:0.122645:0.087208:0.065614:0.043303:0.065614:0.000000:0.000000
Según el tipo de expresión algebraica, existen técnicas (casos) para la descomposición en factores.:@0.115209:0.322107:0.834303:0.322107:0.834303:0.305718:0.115209:0.305718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factor común:@0.115209:0.354864:0.253678:0.354864:0.253678:0.333354:0.115209:0.333354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.115209:0.775626:0.133950:0.775626:0.133950:0.758491:0.115209:0.758491:0.000000:0.000000:0.000000
Factorizamos::@0.148452:0.775626:0.253858:0.775626:0.253858:0.759002:0.148452:0.759002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (  +  )  – 3(  +  ):@0.253858:0.775626:0.384128:0.775626:0.384128:0.759238:0.253858:0.759238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.262777:0.775626:0.272047:0.775626:0.272047:0.759265:0.262777:0.759265:0.000000
b:@0.291101:0.775626:0.300370:0.775626:0.300370:0.759265:0.291101:0.759265:0.000000
2:@0.305248:0.769579:0.310491:0.769579:0.310491:0.760024:0.305248:0.760024:0.000000
a:@0.341653:0.775626:0.350922:0.775626:0.350922:0.759265:0.341653:0.759265:0.000000
b:@0.369976:0.775626:0.379245:0.775626:0.379245:0.759265:0.369976:0.759265:0.000000
a):@0.157478:0.614936:0.172386:0.614936:0.172386:0.598035:0.157478:0.598035:0.000000:0.000000
  :@0.172386:0.614936:0.180458:0.614936:0.180458:0.598547:0.172386:0.598547:0.000000:0.000000
Determinamos:@0.180458:0.614936:0.294928:0.614936:0.294928:0.598312:0.180458:0.598312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el factor común.:@0.294928:0.614936:0.418299:0.614936:0.418299:0.598547:0.294928:0.598547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.535614:0.614936:0.544606:0.614936:0.544606:0.598547:0.535614:0.598547:0.000000
m n:@0.544606:0.614936:0.573990:0.614936:0.573990:0.598575:0.544606:0.598575:0.000000:0.000000:0.000000
2 2:@0.559239:0.608889:0.579233:0.608889:0.579233:0.599334:0.559239:0.599334:0.000000:0.000000:0.000000
b):@0.157478:0.665405:0.173695:0.665405:0.173695:0.648505:0.157478:0.648505:0.000000:0.000000
  :@0.173695:0.665405:0.181628:0.665405:0.181628:0.649016:0.173695:0.649016:0.000000:0.000000
Dividimos:@0.181499:0.665405:0.258747:0.665405:0.258747:0.648781:0.181499:0.648781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cada término para el factor común. –6:@0.258747:0.665405:0.553822:0.665405:0.553822:0.649016:0.258747:0.649016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.535614:0.645241:0.544606:0.645241:0.544606:0.628852:0.535614:0.628852:0.000000
m n:@0.544606:0.645241:0.573990:0.645244:0.573990:0.628883:0.544606:0.628879:0.000000:0.000000:0.000000
4 2:@0.559239:0.639197:0.579233:0.639197:0.579233:0.629642:0.559239:0.629642:0.000000:0.000000:0.000000
 ÷ 2:@0.579233:0.645244:0.607280:0.645244:0.607280:0.628855:0.579233:0.628855:0.000000:0.000000:0.000000:0.000000
m n:@0.607280:0.645244:0.636661:0.645244:0.636661:0.628883:0.607280:0.628883:0.000000:0.000000:0.000000
2 2:@0.621910:0.639197:0.641903:0.639197:0.641903:0.629642:0.621910:0.629642:0.000000:0.000000:0.000000
 = 2:@0.641904:0.645244:0.669951:0.645244:0.669951:0.628855:0.641904:0.628855:0.000000:0.000000:0.000000:0.000000
m:@0.669951:0.645244:0.684583:0.645244:0.684583:0.628883:0.669951:0.628883:0.000000
2:@0.684581:0.639197:0.689824:0.639197:0.689824:0.629642:0.684581:0.629642:0.000000
m n:@0.553822:0.665405:0.583204:0.665405:0.583204:0.649044:0.553822:0.649044:0.000000:0.000000:0.000000
3 3:@0.568453:0.659358:0.588446:0.659358:0.588446:0.649803:0.568453:0.649803:0.000000:0.000000:0.000000
 ÷ 2:@0.588446:0.665405:0.616492:0.665405:0.616492:0.649016:0.588446:0.649016:0.000000:0.000000:0.000000:0.000000
m n:@0.616492:0.665405:0.645874:0.665405:0.645874:0.649044:0.616492:0.649044:0.000000:0.000000:0.000000
2 2:@0.631124:0.659358:0.651117:0.659358:0.651117:0.649803:0.631124:0.649803:0.000000:0.000000:0.000000
 = –3:@0.651118:0.665405:0.688379:0.665405:0.688379:0.649016:0.651118:0.649016:0.000000:0.000000:0.000000:0.000000:0.000000
mn:@0.688379:0.665405:0.712519:0.665405:0.712519:0.649044:0.688379:0.649044:0.000000:0.000000
8:@0.535614:0.685570:0.544606:0.685570:0.544606:0.669181:0.535614:0.669181:0.000000
m n:@0.544606:0.685570:0.573990:0.685565:0.573990:0.669203:0.544606:0.669209:0.000000:0.000000:0.000000
2 4:@0.559239:0.679517:0.579233:0.679517:0.579233:0.669963:0.559239:0.669963:0.000000:0.000000:0.000000
 ÷ 2:@0.579233:0.685565:0.607280:0.685565:0.607280:0.669176:0.579233:0.669176:0.000000:0.000000:0.000000:0.000000
m n:@0.607280:0.685565:0.636661:0.685565:0.636661:0.669203:0.607280:0.669203:0.000000:0.000000:0.000000
2 2:@0.621910:0.679517:0.641903:0.679517:0.641903:0.669963:0.621910:0.669963:0.000000:0.000000:0.000000
 = 4:@0.641904:0.685565:0.669951:0.685565:0.669951:0.669176:0.641904:0.669176:0.000000:0.000000:0.000000:0.000000
n:@0.669951:0.685565:0.679460:0.685565:0.679460:0.669203:0.669951:0.669203:0.000000
2:@0.679458:0.679517:0.684701:0.679517:0.684701:0.669963:0.679458:0.669963:0.000000
c):@0.157478:0.727323:0.171299:0.727323:0.171299:0.710423:0.157478:0.710423:0.000000:0.000000
  :@0.171299:0.727323:0.179370:0.727323:0.179370:0.710935:0.171299:0.710935:0.000000:0.000000
Aplicamos:@0.179370:0.727323:0.259660:0.727323:0.259660:0.710699:0.179370:0.710699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la propiedad distributiva. :@0.259660:0.727323:0.449923:0.727323:0.449923:0.710935:0.259660:0.710935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.535614:0.717241:0.544606:0.717241:0.544606:0.700852:0.535614:0.700852:0.000000
m n:@0.544606:0.717241:0.573990:0.717244:0.573990:0.700882:0.544606:0.700880:0.000000:0.000000:0.000000
4 2:@0.559239:0.711196:0.579233:0.711196:0.579233:0.701642:0.559239:0.701642:0.000000:0.000000:0.000000
 – 6:@0.579233:0.717244:0.605511:0.717244:0.605511:0.700855:0.579233:0.700855:0.000000:0.000000:0.000000:0.000000
m n:@0.605511:0.717244:0.634893:0.717244:0.634893:0.700882:0.605511:0.700882:0.000000:0.000000:0.000000
3 3:@0.620141:0.711196:0.640134:0.711196:0.640134:0.701642:0.620141:0.701642:0.000000:0.000000:0.000000
 + 8:@0.640135:0.717244:0.668182:0.717244:0.668182:0.700855:0.640135:0.700855:0.000000:0.000000:0.000000:0.000000
m n:@0.668182:0.717244:0.697564:0.717244:0.697564:0.700882:0.668182:0.700882:0.000000:0.000000:0.000000
2 4:@0.682813:0.711196:0.702807:0.711196:0.702807:0.701642:0.682813:0.701642:0.000000:0.000000:0.000000
 =:@0.702806:0.717244:0.717824:0.717244:0.717824:0.700855:0.702806:0.700855:0.000000:0.000000
2:@0.535612:0.737408:0.544605:0.737408:0.544605:0.721019:0.535612:0.721019:0.000000
m n:@0.544605:0.737408:0.573990:0.737403:0.573990:0.721042:0.544605:0.721047:0.000000:0.000000:0.000000
2 2:@0.559239:0.731356:0.579233:0.731356:0.579233:0.721801:0.559239:0.721801:0.000000:0.000000:0.000000
 (2:@0.579233:0.737403:0.597145:0.737403:0.597145:0.721014:0.579233:0.721014:0.000000:0.000000:0.000000
m:@0.597145:0.737403:0.611777:0.737403:0.611777:0.721042:0.597145:0.721042:0.000000
2:@0.611775:0.731356:0.617018:0.731356:0.617018:0.721801:0.611775:0.721801:0.000000
 – 3:@0.617018:0.737403:0.643296:0.737403:0.643296:0.721014:0.617018:0.721014:0.000000:0.000000:0.000000:0.000000
mn:@0.643296:0.737403:0.667436:0.737403:0.667436:0.721042:0.643296:0.721042:0.000000:0.000000
 + 4 ):@0.667436:0.737403:0.715115:0.737403:0.715115:0.721014:0.667436:0.721014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.695483:0.737403:0.704992:0.737403:0.704992:0.721042:0.695483:0.721042:0.000000
2:@0.704990:0.731356:0.710233:0.731356:0.710233:0.721801:0.704990:0.721801:0.000000
a):@0.157478:0.807762:0.172386:0.807762:0.172386:0.790861:0.157478:0.790861:0.000000:0.000000
  :@0.172386:0.807762:0.180458:0.807762:0.180458:0.791373:0.172386:0.791373:0.000000:0.000000
Determinamos:@0.180458:0.807762:0.294928:0.807762:0.294928:0.791138:0.180458:0.791138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el factor común.:@0.294928:0.807762:0.418299:0.807762:0.418299:0.791373:0.294928:0.791373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ):@0.535614:0.807762:0.582973:0.807762:0.582973:0.791373:0.535614:0.791373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.540497:0.807762:0.549766:0.807762:0.549766:0.791401:0.540497:0.791401:0.000000
b:@0.568820:0.807762:0.578089:0.807762:0.578089:0.791401:0.568820:0.791401:0.000000
b):@0.157478:0.846971:0.173695:0.846971:0.173695:0.830070:0.157478:0.830070:0.000000:0.000000
  :@0.173695:0.846971:0.181628:0.846971:0.181628:0.830582:0.173695:0.830582:0.000000:0.000000
Dividimos:@0.181499:0.846971:0.258747:0.846971:0.258747:0.830347:0.181499:0.830347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cada término para el factor común.:@0.258747:0.846971:0.519434:0.846971:0.519434:0.830582:0.258747:0.830582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  )  ÷ (  +  ) =   + :@0.535614:0.836888:0.702007:0.836888:0.702007:0.820500:0.535614:0.820500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.540497:0.836888:0.549766:0.836888:0.549766:0.820527:0.540497:0.820527:0.000000
b:@0.568820:0.836888:0.578089:0.836888:0.578089:0.820527:0.568820:0.820527:0.000000
2:@0.582973:0.830841:0.588215:0.830841:0.588215:0.821286:0.582973:0.821286:0.000000
a:@0.612154:0.836888:0.621423:0.836888:0.621423:0.820527:0.612154:0.820527:0.000000
b:@0.640477:0.836888:0.649746:0.836888:0.649746:0.820527:0.640477:0.820527:0.000000
a:@0.673683:0.836888:0.682953:0.836888:0.682953:0.820527:0.673683:0.820527:0.000000
b:@0.702007:0.836888:0.711276:0.836888:0.711276:0.820527:0.702007:0.820527:0.000000
–3(  +  ) ÷ (  +  ) = –3:@0.535624:0.857053:0.704863:0.857053:0.704863:0.840664:0.535624:0.840664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.558713:0.857053:0.567982:0.857053:0.567982:0.840692:0.558713:0.840692:0.000000
b:@0.587037:0.857053:0.596306:0.857053:0.596306:0.840692:0.587037:0.840692:0.000000
a:@0.625127:0.857053:0.634396:0.857053:0.634396:0.840692:0.625127:0.840692:0.000000
b:@0.653450:0.857053:0.662719:0.857053:0.662719:0.840692:0.653450:0.840692:0.000000
c):@0.157488:0.896718:0.171309:0.896718:0.171309:0.879818:0.157488:0.879818:0.000000:0.000000
  :@0.171309:0.896718:0.179380:0.896718:0.179380:0.880329:0.171309:0.880329:0.000000:0.000000
Aplicamos:@0.179380:0.896718:0.259670:0.896718:0.259670:0.880094:0.179380:0.880094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la propiedad distributiva. :@0.259670:0.896718:0.449933:0.896718:0.449933:0.880329:0.259670:0.880329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  )  – 3(  +  ) =:@0.535624:0.886636:0.676871:0.886631:0.676871:0.870242:0.535624:0.870247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.540507:0.886636:0.549776:0.886636:0.549776:0.870275:0.540507:0.870275:0.000000
b:@0.568830:0.886636:0.578099:0.886636:0.578099:0.870275:0.568830:0.870275:0.000000
2:@0.582973:0.880584:0.588215:0.880584:0.588215:0.871029:0.582973:0.871029:0.000000
a:@0.619377:0.886631:0.628646:0.886631:0.628646:0.870270:0.619377:0.870270:0.000000
b:@0.647700:0.886631:0.656970:0.886631:0.656970:0.870270:0.647700:0.870270:0.000000
(  +  )[(  +  ) – 3] = (  +  )(  +   – 3):@0.535624:0.906796:0.806436:0.906796:0.806436:0.890407:0.535624:0.890407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.540507:0.906796:0.549776:0.906796:0.549776:0.890434:0.540507:0.890434:0.000000
b a:@0.568830:0.906796:0.602018:0.906796:0.602018:0.890434:0.568830:0.890434:0.000000:0.000000:0.000000
b:@0.621073:0.906796:0.630342:0.906796:0.630342:0.890434:0.621073:0.890434:0.000000
a:@0.690324:0.906796:0.699593:0.906796:0.699593:0.890434:0.690324:0.890434:0.000000
b a:@0.718647:0.906796:0.746952:0.906796:0.746952:0.890434:0.718647:0.890434:0.000000:0.000000:0.000000
b:@0.766006:0.906796:0.775275:0.906796:0.775275:0.890434:0.766006:0.890434:0.000000
Actividad resuelta:@0.115891:0.563882:0.273013:0.563882:0.273013:0.545445:0.115891:0.545445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.115891:0.583728:0.134631:0.583728:0.134631:0.566593:0.115891:0.566593:0.000000:0.000000:0.000000
Factorizamos::@0.149134:0.583728:0.254540:0.583728:0.254540:0.567104:0.149134:0.567104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 4:@0.254540:0.583728:0.267568:0.583728:0.267568:0.567339:0.254540:0.567339:0.000000:0.000000
m n:@0.267568:0.583728:0.296947:0.583728:0.296947:0.567367:0.267568:0.567367:0.000000:0.000000:0.000000
4 2:@0.282195:0.577681:0.302190:0.577681:0.302190:0.568126:0.282195:0.568126:0.000000:0.000000:0.000000
 – 6:@0.302189:0.583728:0.328467:0.583728:0.328467:0.567339:0.302189:0.567339:0.000000:0.000000:0.000000:0.000000
m n:@0.328467:0.583728:0.357849:0.583728:0.357849:0.567367:0.328467:0.567367:0.000000:0.000000:0.000000
3 3:@0.343098:0.577681:0.363091:0.577681:0.363091:0.568126:0.343098:0.568126:0.000000:0.000000:0.000000
 + 8:@0.363092:0.583728:0.391139:0.583728:0.391139:0.567339:0.363092:0.567339:0.000000:0.000000:0.000000:0.000000
m n:@0.391139:0.583728:0.420521:0.583728:0.420521:0.567367:0.391139:0.567367:0.000000:0.000000:0.000000
2 4:@0.405769:0.577681:0.425764:0.577681:0.425764:0.568126:0.405769:0.568126:0.000000:0.000000:0.000000
Las letras y/o números que se repiten entre los términos :@0.115354:0.378231:0.553932:0.378231:0.553932:0.361842:0.115354:0.361842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una expresión toman el nombre de factor común de :@0.115354:0.394828:0.553913:0.394828:0.553913:0.378439:0.115354:0.378439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estas expresiones. :@0.115354:0.411424:0.253711:0.411424:0.253711:0.395035:0.115354:0.395035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El factor común, no es sino el máximo común divisor de :@0.115354:0.431589:0.553876:0.431589:0.553876:0.415200:0.115354:0.415200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los términos que componen el polinomio (factores que se :@0.115354:0.448185:0.553858:0.448185:0.553858:0.431796:0.115354:0.431796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
repiten elevados al menor exponente).:@0.115354:0.464781:0.405516:0.464781:0.405516:0.448393:0.115354:0.448393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una vez determinado el factor común del polinomio que :@0.115354:0.484946:0.553950:0.484946:0.553950:0.468557:0.115354:0.468557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vamos a factorizar, a continuación se aplica la propiedad :@0.115354:0.501542:0.553932:0.501542:0.553932:0.485153:0.115354:0.485153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distributiva.:@0.115354:0.518139:0.202830:0.518139:0.202830:0.501750:0.115354:0.501750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, (2021). 1805779825:@0.895902:0.591393:0.895902:0.475501:0.882006:0.475501:0.882006:0.591393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000