﻿109:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento variacional, sistemas algebraicos y analíticos:@0.409018:0.043661:0.926896:0.043661:0.926896:0.024916:0.409018:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.2 Multiplicación de expresiones algebraicas:@0.073089:0.136836:0.428872:0.136836:0.428872:0.119889:0.073089:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La multiplicación de expresiones algebraicas es el proceso de multiplicar dos o más :@0.073089:0.167776:0.710134:0.167776:0.710134:0.151342:0.073089:0.151342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresiones que contienen números, variables o términos algebraicos. Este proceso se :@0.073089:0.184418:0.710622:0.184418:0.710622:0.167984:0.073089:0.167984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
basa en las propiedades de la multiplicación y la distribución de los términos.:@0.073089:0.201060:0.631160:0.201060:0.631160:0.184626:0.073089:0.184626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicación de monomios:@0.073089:0.232000:0.290346:0.232000:0.290346:0.215330:0.073089:0.215330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un monomio es una expresión algebraica que consiste en un solo término, como 3 2 o :@0.073089:0.262940:0.710366:0.262940:0.710366:0.246506:0.073089:0.246506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.676239:0.262940:0.683694:0.262940:0.683694:0.246534:0.676239:0.246534:0.000000
2:@0.073070:0.279027:0.088404:0.279027:0.088404:0.265311:0.073070:0.265311:0.000000
5 . Al multiplicar dos monomios, se multiplican los coeficientes y se suman los :@0.088735:0.279582:0.710260:0.279582:0.710260:0.263148:0.088735:0.263148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.098012:0.279582:0.105486:0.279582:0.105486:0.263175:0.098012:0.263175:0.000000
exponentes de las variables que son iguales.:@0.073052:0.296223:0.393114:0.296223:0.393114:0.279790:0.073052:0.279790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2 :@0.073052:0.327163:0.152737:0.327163:0.152737:0.310494:0.073052:0.310494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 3   4 2   (2   4) ( 3   2)   8 5:@0.260916:0.358103:0.518360:0.358103:0.518360:0.341669:0.260916:0.341669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.269826:0.358103:0.277281:0.358103:0.277281:0.341697:0.269826:0.341697:0.000000
3:@0.290055:0.357549:0.305388:0.357549:0.305388:0.343833:0.290055:0.343833:0.000000
x:@0.318145:0.358103:0.325600:0.358103:0.325600:0.341697:0.318145:0.341697:0.000000
5:@0.338374:0.357549:0.353707:0.357549:0.353707:0.343833:0.338374:0.343833:0.000000
3:@0.375207:0.357549:0.390540:0.357549:0.390540:0.343833:0.375207:0.343833:0.000000
x:@0.416844:0.358103:0.424299:0.358103:0.424299:0.341697:0.416844:0.341697:0.000000
1:@0.437074:0.357549:0.452407:0.357549:0.452407:0.343833:0.437074:0.343833:0.000000
5:@0.473907:0.357549:0.489240:0.357549:0.489240:0.343833:0.473907:0.343833:0.000000
x:@0.501996:0.358103:0.509451:0.358103:0.509451:0.341697:0.501996:0.341697:0.000000
Multiplicación de polinomios:@0.072978:0.389043:0.293862:0.389043:0.293862:0.372374:0.072978:0.372374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un polinomio es una suma de uno o más monomios. Al multiplicar polinomios, se usa la :@0.072978:0.419983:0.710714:0.419983:0.710714:0.403549:0.072978:0.403549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedad distributiva, lo que implica multiplicar cada término del primer polinomio por :@0.072978:0.436625:0.709834:0.436625:0.709834:0.420191:0.072978:0.420191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada término del segundo polinomio.:@0.072978:0.453267:0.347206:0.453267:0.347206:0.436833:0.072978:0.436833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.072978:0.484207:0.148761:0.484207:0.148761:0.467537:0.072978:0.467537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para multiplicar (:@0.273305:0.515147:0.394012:0.515147:0.394012:0.498713:0.273305:0.498713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.393817:0.515147:0.404511:0.515147:0.404511:0.498741:0.393817:0.498741:0.000000:0.000000
1 :@0.404456:0.514592:0.424299:0.514592:0.424299:0.500876:0.404456:0.500876:0.000000:0.000000
3) y (:@0.424207:0.515147:0.458739:0.515147:0.458739:0.498713:0.424207:0.498713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.458629:0.515147:0.469323:0.515147:0.469323:0.498741:0.458629:0.498741:0.000000:0.000000
1 :@0.469268:0.514592:0.489111:0.514592:0.489111:0.500876:0.469268:0.500876:0.000000:0.000000
2):  :@0.489019:0.515147:0.513998:0.515147:0.513998:0.498713:0.489019:0.498713:0.000000:0.000000:0.000000:0.000000:0.000000
(    3) (    2)               2   3       3   2:@0.213426:0.546087:0.565851:0.546087:0.565851:0.529653:0.213426:0.529653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.218230:0.546087:0.225685:0.546087:0.225685:0.529681:0.218230:0.529681:0.000000
1:@0.229569:0.545532:0.244902:0.545532:0.244902:0.531816:0.229569:0.531816:0.000000
x:@0.271206:0.546087:0.278661:0.546087:0.278661:0.529681:0.271206:0.529681:0.000000
1:@0.282545:0.545532:0.297878:0.545532:0.297878:0.531816:0.282545:0.531816:0.000000
5 3 1 3 1 3 1 3:@0.319378:0.545532:0.553003:0.545532:0.553003:0.531816:0.319378:0.531816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.338577:0.546087:0.346032:0.546087:0.346032:0.529681:0.338577:0.529681:0.000000
x:@0.369114:0.546087:0.376569:0.546087:0.376569:0.529681:0.369114:0.529681:0.000000
x:@0.399652:0.546087:0.407107:0.546087:0.407107:0.529681:0.399652:0.529681:0.000000
x:@0.494284:0.546087:0.501739:0.546087:0.501739:0.529681:0.494284:0.529681:0.000000
5:@0.316414:0.576472:0.331748:0.576472:0.331748:0.562756:0.316414:0.562756:0.000000
  2   2    3    6:@0.331656:0.577027:0.462881:0.577027:0.462881:0.560593:0.331656:0.560593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.335613:0.577027:0.343068:0.577027:0.343068:0.560621:0.335613:0.560621:0.000000
1:@0.355843:0.576472:0.371176:0.576472:0.371176:0.562756:0.355843:0.562756:0.000000
x:@0.383932:0.577027:0.391387:0.577027:0.391387:0.560621:0.383932:0.560621:0.000000
1:@0.395271:0.576472:0.410604:0.576472:0.410604:0.562756:0.395271:0.562756:0.000000
x:@0.423360:0.577027:0.430815:0.577027:0.430815:0.560621:0.423360:0.560621:0.000000
1:@0.434699:0.576472:0.450033:0.576472:0.450033:0.562756:0.434699:0.562756:0.000000
5:@0.336110:0.607412:0.351443:0.607412:0.351443:0.593696:0.336110:0.593696:0.000000
  2   5    6:@0.351351:0.607967:0.443148:0.607967:0.443148:0.591533:0.351351:0.591533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.355309:0.607967:0.362764:0.607967:0.362764:0.591560:0.355309:0.591560:0.000000
1:@0.375538:0.607412:0.390872:0.607412:0.390872:0.593696:0.375538:0.593696:0.000000
x:@0.403628:0.607967:0.411083:0.607967:0.411083:0.591560:0.403628:0.591560:0.000000
1:@0.414967:0.607412:0.430300:0.607412:0.430300:0.593696:0.414967:0.593696:0.000000
Multiplicación de binomios:@0.072997:0.638906:0.279578:0.638906:0.279578:0.622237:0.072997:0.622237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es una forma específica de multiplicación de polinomios que involucra dos términos. Al :@0.072997:0.669846:0.710816:0.669846:0.710816:0.653413:0.072997:0.653413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicar binomios, se puede utilizar el método FOIL (Primero, Exterior, Interior, Último) :@0.072997:0.686488:0.710595:0.686488:0.710595:0.670054:0.072997:0.670054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para recordar el orden de multiplicación.:@0.072997:0.703130:0.366957:0.703130:0.366957:0.686696:0.072997:0.686696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 4::@0.072997:0.734070:0.152516:0.734070:0.152516:0.717400:0.072997:0.717400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Para multiplicar (     ) (     )::@0.072997:0.765010:0.300474:0.765010:0.300474:0.748576:0.072997:0.748576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.197467:0.765010:0.206726:0.765010:0.206726:0.748604:0.197467:0.748604:0.000000
1:@0.210609:0.764455:0.225943:0.764455:0.225943:0.750740:0.210609:0.750740:0.000000
b c:@0.229808:0.765010:0.260199:0.765010:0.260199:0.748604:0.229808:0.748604:0.000000:0.000000:0.000000
1:@0.264083:0.764455:0.279416:0.764455:0.279416:0.750740:0.264083:0.750740:0.000000
d:@0.283281:0.765010:0.292540:0.765010:0.292540:0.748604:0.283281:0.748604:0.000000
•:@0.073089:0.795898:0.077635:0.795898:0.077635:0.779464:0.073089:0.779464:0.000000
Primero: :@0.103290:0.795898:0.167197:0.795898:0.167197:0.779464:0.103290:0.779464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a   c:@0.167090:0.795898:0.205672:0.795898:0.205672:0.779492:0.167090:0.779492:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.179533:0.795344:0.194867:0.795344:0.194867:0.781628:0.179533:0.781628:0.000000
•:@0.073089:0.826834:0.077635:0.826834:0.077635:0.810401:0.073089:0.810401:0.000000
Exterior: :@0.103290:0.826834:0.166011:0.826834:0.166011:0.810401:0.103290:0.810401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a   d:@0.165894:0.826834:0.206077:0.826834:0.206077:0.810428:0.165894:0.810428:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.178337:0.826280:0.193670:0.826280:0.193670:0.812564:0.178337:0.812564:0.000000
•:@0.073089:0.857772:0.077635:0.857772:0.077635:0.841338:0.073089:0.841338:0.000000
Interior:  :@0.103290:0.857772:0.167281:0.857772:0.167281:0.841338:0.103290:0.841338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b   c:@0.167164:0.857772:0.205745:0.857772:0.205745:0.841366:0.167164:0.841366:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.179607:0.857217:0.194940:0.857217:0.194940:0.843501:0.179607:0.843501:0.000000
•:@0.073089:0.888709:0.077635:0.888709:0.077635:0.872275:0.073089:0.872275:0.000000
Último:  :@0.103290:0.888709:0.163795:0.888709:0.163795:0.872275:0.103290:0.872275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b   d:@0.163666:0.888709:0.203849:0.888709:0.203849:0.872303:0.163666:0.872303:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.176110:0.888155:0.191443:0.888155:0.191443:0.874439:0.176110:0.874439:0.000000
Lo que resulta en: :@0.073089:0.919646:0.205017:0.919646:0.205017:0.903212:0.073089:0.903212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ac   ad   bc   bd:@0.204830:0.919646:0.340436:0.919646:0.340436:0.903240:0.204830:0.903240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.224857:0.919091:0.240190:0.919091:0.240190:0.905375:0.224857:0.905375:0.000000
1:@0.264984:0.919091:0.280318:0.919091:0.280318:0.905375:0.264984:0.905375:0.000000
1:@0.303511:0.919091:0.318844:0.919091:0.318844:0.905375:0.303511:0.905375:0.000000
Para eliminar un :@0.743851:0.186922:0.853585:0.186922:0.853585:0.171982:0.743851:0.171982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paréntesis en una :@0.743851:0.202051:0.864138:0.202051:0.864138:0.187111:0.743851:0.187111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresión algebraica, :@0.743851:0.217180:0.886451:0.217180:0.886451:0.202240:0.743851:0.202240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debes seguir estas reglas::@0.743851:0.232309:0.910397:0.232309:0.910397:0.217369:0.743851:0.217369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. Si el paréntesis está:@0.743851:0.247438:0.885925:0.247438:0.885925:0.232498:0.743851:0.232498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precedido por un signo:@0.743851:0.262567:0.899229:0.262567:0.899229:0.247627:0.743851:0.247627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.743851:0.277191:0.757791:0.277191:0.757791:0.264722:0.743851:0.264722:0.000000
 (positivo), se quitan los:@0.757707:0.277695:0.911602:0.277695:0.911602:0.262756:0.757707:0.262756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paréntesis sin cambiar los:@0.743851:0.292824:0.912432:0.292824:0.912432:0.277885:0.743851:0.277885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
signos de los términos:@0.743851:0.307953:0.891710:0.307953:0.891710:0.293014:0.743851:0.293014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dentro del paréntesis.:@0.743851:0.323082:0.886099:0.323082:0.886099:0.308142:0.743851:0.308142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.743851:0.338211:0.801182:0.338211:0.801182:0.323271:0.743851:0.323271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 (2:@0.761288:0.353340:0.795777:0.353340:0.795777:0.338400:0.761288:0.338400:0.000000:0.000000:0.000000:0.000000
1:@0.769387:0.352836:0.783327:0.352836:0.783327:0.340367:0.769387:0.340367:0.000000
x:@0.795693:0.353340:0.802470:0.353340:0.802470:0.338426:0.795693:0.338426:0.000000
2 5 1:@0.802403:0.352836:0.864603:0.352836:0.864603:0.340367:0.802403:0.340367:0.000000:0.000000:0.000000:0.000000:0.000000
3) 5 2 −3:@0.816259:0.353340:0.897401:0.353340:0.897401:0.338400:0.816259:0.338400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.872618:0.353340:0.879396:0.353340:0.879396:0.338426:0.872618:0.338426:0.000000
2. Si el paréntesis está:@0.743851:0.368469:0.885925:0.368469:0.885925:0.353529:0.743851:0.353529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precedido por un signo:@0.743851:0.383598:0.899229:0.383598:0.899229:0.368658:0.743851:0.368658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.743851:0.398223:0.757791:0.398223:0.757791:0.385754:0.743851:0.385754:0.000000
 (negativo), se quitan:@0.757707:0.398727:0.895420:0.398727:0.895420:0.383787:0.757707:0.383787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los paréntesis, pero:@0.743851:0.413856:0.870150:0.413856:0.870150:0.398916:0.743851:0.398916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debes cambiar los signos:@0.743851:0.428985:0.909661:0.428985:0.909661:0.414045:0.743851:0.414045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de todos los términos:@0.743851:0.444114:0.887174:0.444114:0.887174:0.429174:0.743851:0.429174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que están dentro del:@0.743851:0.459243:0.881516:0.459243:0.881516:0.444303:0.743851:0.444303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paréntesis.:@0.743851:0.474372:0.813729:0.474372:0.813729:0.459432:0.743851:0.459432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.743851:0.489501:0.801182:0.489501:0.801182:0.474561:0.743851:0.474561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7 (3:@0.755716:0.504630:0.790204:0.504630:0.790204:0.489690:0.755716:0.489690:0.000000:0.000000:0.000000:0.000000
2:@0.763815:0.504125:0.777754:0.504125:0.777754:0.491657:0.763815:0.491657:0.000000
x:@0.790120:0.504630:0.796898:0.504630:0.796898:0.489715:0.790120:0.489715:0.000000
1 5 2 2:@0.796831:0.504125:0.894875:0.504125:0.894875:0.491657:0.796831:0.491657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4)   7 3:@0.810686:0.504630:0.874292:0.504630:0.874292:0.489690:0.810686:0.489690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.874225:0.504630:0.881002:0.504630:0.881002:0.489715:0.874225:0.489715:0.000000
4:@0.894791:0.504630:0.902957:0.504630:0.902957:0.489690:0.894791:0.489690:0.000000
Competencia :@0.743851:0.144952:0.842543:0.144952:0.842543:0.129545:0.743851:0.129545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.743851:0.160081:0.832466:0.160081:0.832466:0.144674:0.743851:0.144674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000