68:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
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
Al igual que la suma, la multiplicación de monomios y polinomios constituye una :@0.287490:0.153080:0.907674:0.153080:0.907674:0.136691:0.287490:0.136691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
herramienta fundamental en el álgebra y se utiliza para simplificar expresiones :@0.287490:0.169677:0.907619:0.169677:0.907619:0.153288:0.287490:0.153288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algebraicas y modelar situaciones en la vida real.:@0.287490:0.186273:0.641166:0.186273:0.641166:0.169884:0.287490:0.169884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esta operación consiste básicamente en aplicar la propiedad de producto :@0.287490:0.209992:0.907687:0.209992:0.907687:0.193603:0.287490:0.193603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de potencias de igual base.:@0.287490:0.226588:0.486542:0.226588:0.486542:0.210199:0.287490:0.210199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vamos a ver cómo se multiplican monomios y polinomios.:@0.287490:0.250307:0.715502:0.250307:0.715502:0.233918:0.287490:0.233918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para una competencia de robots, un estudiante creó un robot manipulador de forma :@0.287490:0.274026:0.907763:0.274026:0.907763:0.257637:0.287490:0.257637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
prismática, cuya cara frontal es cuadrangular y sus caras laterales son rectangulares. :@0.287490:0.290623:0.907693:0.290623:0.907693:0.274234:0.287490:0.274234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si uno de los lados del rectángulo de las caras laterales es 1 :@0.287490:0.307219:0.749174:0.307219:0.749174:0.290830:0.287490:0.290830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.751294:0.307219:0.773591:0.307219:0.773591:0.290858:0.751294:0.290858:0.000000:0.000000
 más grande que :@0.773591:0.307219:0.907652:0.307219:0.907652:0.290830:0.773591:0.290830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el otro lado, ¿cuál es la expresión algebraica que expresa en forma aproximada :@0.287490:0.323815:0.907748:0.323815:0.907748:0.307426:0.287490:0.307426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el volumen del robot?:@0.287490:0.340412:0.448638:0.340412:0.448638:0.324023:0.287490:0.324023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Lo primero que hacemos es esquematizar la forma del robot.:@0.287490:0.364131:0.733082:0.364131:0.733082:0.347742:0.287490:0.347742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    :@0.287490:0.387850:0.303633:0.387850:0.303633:0.371461:0.287490:0.371461:0.000000:0.000000:0.000000:0.000000
Como no conocemos el valor de ninguna de las aristas, asignamos la letra   como :@0.287490:0.496321:0.907663:0.496321:0.907663:0.479932:0.287490:0.479932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.847801:0.496321:0.855264:0.496321:0.855264:0.479960:0.847801:0.479960:0.000000
medida de las aristas de las caras cuadrangulares. De acuerdo con el enunciado, :@0.287490:0.512917:0.907726:0.512917:0.907726:0.496528:0.287490:0.496528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la arista más larga de las caras rectangulares es 1 :@0.287490:0.529514:0.651454:0.529514:0.651454:0.513125:0.287490:0.513125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.653039:0.529514:0.675152:0.529514:0.675152:0.513152:0.653039:0.513152:0.000000:0.000000
 más que la corta, por lo tanto, :@0.674968:0.529514:0.907764:0.529514:0.907764:0.513125:0.674968:0.513125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mide   + 1.:@0.287490:0.546110:0.366305:0.546110:0.366305:0.529721:0.287490:0.529721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.328510:0.546110:0.335973:0.546110:0.335973:0.529749:0.328510:0.529749:0.000000
Para calcular el volumen de este prisma, consideramos la cara cuadrangular como :@0.287490:0.674206:0.907615:0.674206:0.907615:0.657817:0.287490:0.657817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
base y calculamos su área, que multiplicaremos luego con la altura para :@0.287490:0.690803:0.907726:0.690803:0.907726:0.674414:0.287490:0.674414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtener el volumen.:@0.287490:0.707399:0.435960:0.707399:0.435960:0.691010:0.287490:0.691010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.289326:0.729892:0.298448:0.729892:0.298448:0.713531:0.289326:0.713531:0.000000
x xx:@0.318755:0.729892:0.367515:0.729892:0.367515:0.713531:0.318755:0.713531:0.000000:0.000000:0.000000:0.000000
(:@0.352883:0.729892:0.357767:0.729892:0.357767:0.713503:0.352883:0.713503:0.000000
1):@0.383142:0.729892:0.394825:0.729892:0.394825:0.713503:0.383142:0.713503:0.000000:0.000000
=⋅ ⋅:@0.303884:0.730570:0.351944:0.730570:0.351944:0.714997:0.303884:0.714997:0.000000:0.000000:0.000000:0.000000
+:@0.371422:0.730570:0.381538:0.730570:0.381538:0.714997:0.371422:0.714997:0.000000
Aplicamos la propiedad de la potenciación de bases iguales.:@0.287495:0.758645:0.728428:0.758645:0.728428:0.742256:0.287495:0.742256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.289320:0.783623:0.298441:0.783623:0.298441:0.767262:0.289320:0.767262:0.000000
x:@0.318749:0.783623:0.326212:0.783623:0.326212:0.767262:0.318749:0.767262:0.000000
x:@0.349320:0.783623:0.356783:0.783623:0.356783:0.767262:0.349320:0.767262:0.000000
(:@0.342150:0.783627:0.347033:0.783627:0.347033:0.767238:0.342150:0.767238:0.000000
1):@0.372408:0.783627:0.384098:0.783627:0.384098:0.767238:0.372408:0.767238:0.000000:0.000000
2:@0.327857:0.775966:0.333069:0.775966:0.333069:0.766468:0.327857:0.766468:0.000000
=:@0.303881:0.784304:0.313998:0.784304:0.313998:0.768731:0.303881:0.768731:0.000000
⋅:@0.336608:0.784304:0.341215:0.784304:0.341215:0.768731:0.336608:0.768731:0.000000
+:@0.360675:0.784304:0.370792:0.784304:0.370792:0.768731:0.360675:0.768731:0.000000
Aplicamos la propiedad distributiva y obtenemos el volumen requerido.:@0.287495:0.812380:0.814389:0.812380:0.814389:0.795991:0.287495:0.795991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.289326:0.837362:0.298448:0.837362:0.298448:0.821001:0.289326:0.821001:0.000000
x:@0.318755:0.837362:0.326219:0.837362:0.326219:0.821001:0.318755:0.821001:0.000000
x:@0.351520:0.837362:0.358983:0.837362:0.358983:0.821001:0.351520:0.821001:0.000000
3:@0.327857:0.829700:0.333069:0.829700:0.333069:0.820202:0.327857:0.820202:0.000000
2:@0.360633:0.829700:0.365845:0.829700:0.365845:0.820202:0.360633:0.820202:0.000000
=:@0.303881:0.838040:0.313998:0.838040:0.313998:0.822467:0.303881:0.822467:0.000000
+:@0.337180:0.838040:0.347296:0.838040:0.347296:0.822467:0.337180:0.822467:0.000000
:@0.094760:0.108604:0.159692:0.108604:0.159692:0.011516:0.094760:0.011516:0.000000
Multiplicación de polinomios:@0.286308:0.079033:0.769179:0.079033:0.769179:0.042159:0.286308:0.042159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando multiplicamos monomios entre sí, multiplicamos sus coeficientes; luego, :@0.296992:0.870484:0.897391:0.870484:0.897391:0.854095:0.296992:0.854095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtenemos la parte literal al aplicar la propiedad de la potenciación de producto :@0.296992:0.887080:0.897402:0.887080:0.897402:0.870691:0.296992:0.870691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de bases iguales.:@0.296992:0.903676:0.419995:0.903676:0.419995:0.887287:0.296992:0.887287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.523753:0.606211:0.531216:0.606211:0.531216:0.589850:0.523753:0.589850:0.000000
x:@0.558747:0.639529:0.566210:0.639529:0.566210:0.623167:0.558747:0.623167:0.000000
x + :@0.634208:0.619558:0.659288:0.619558:0.659288:0.603196:0.634208:0.603196:0.000000:0.000000:0.000000:0.000000
1:@0.659288:0.619558:0.668281:0.619558:0.668281:0.603169:0.659288:0.603169:0.000000
Matemática :@0.159899:0.192283:0.248938:0.192283:0.248938:0.176919:0.159899:0.176919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y mecatrónica:@0.143800:0.207370:0.245470:0.207370:0.245470:0.192006:0.143800:0.192006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En Ecuador, estudiantes :@0.087411:0.226016:0.249136:0.226016:0.249136:0.211117:0.087411:0.211117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
universitarios de la :@0.121586:0.241104:0.249137:0.241104:0.249137:0.226205:0.121586:0.226205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
especialidad Electrónica y :@0.074060:0.256191:0.249137:0.256191:0.249137:0.241292:0.074060:0.241292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mecatrónica elaboran :@0.100060:0.271279:0.249139:0.271279:0.249139:0.256380:0.100060:0.256380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
robots que son controlados :@0.069771:0.286367:0.249156:0.286367:0.249156:0.271468:0.069771:0.271468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a través de celulares. :@0.109106:0.301454:0.249137:0.301454:0.249137:0.286555:0.109106:0.286555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estos estudiantes crean :@0.089807:0.320100:0.249136:0.320100:0.249136:0.305201:0.089807:0.305201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus robots con el :@0.132777:0.335188:0.249139:0.335188:0.249139:0.320289:0.132777:0.320289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propósito de competir en :@0.074211:0.350275:0.249139:0.350275:0.249139:0.335376:0.074211:0.335376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ferias científicas. :@0.138423:0.365363:0.249137:0.365363:0.249137:0.350464:0.138423:0.350464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.090841:0.163123:0.248048:0.163123:0.248048:0.146223:0.090841:0.146223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dron robótico:@0.160814:0.494113:0.245789:0.494113:0.245789:0.480704:0.160814:0.480704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.078898:0.436927:0.078898:0.431820:0.066816:0.431820:0.066816:0.436927:0.000000
Shutterstock:@0.078898:0.431820:0.078898:0.394102:0.066987:0.394102:0.066987:0.431820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el estudio de las :@0.117718:0.609949:0.249140:0.609949:0.249140:0.595050:0.117718:0.595050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades de la :@0.125742:0.625037:0.249140:0.625037:0.249140:0.610138:0.125742:0.610138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potenciación de números :@0.073475:0.640125:0.249139:0.640125:0.249139:0.625226:0.073475:0.625226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales, se mencionó que: :@0.081332:0.655212:0.249140:0.655212:0.249140:0.640313:0.081332:0.640313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xx:@0.081843:0.679945:0.114823:0.679945:0.114823:0.663749:0.081843:0.663749:0.000000:0.000000
x:@0.144338:0.679945:0.151726:0.679945:0.151726:0.663749:0.144338:0.663749:0.000000
xx:@0.081843:0.702315:0.112397:0.702315:0.112397:0.686119:0.081843:0.686119:0.000000:0.000000
a:@0.138118:0.702315:0.147293:0.702315:0.147293:0.686119:0.138118:0.686119:0.000000
x:@0.170296:0.702315:0.177684:0.702315:0.177684:0.686119:0.170296:0.686119:0.000000
ax:@0.214951:0.702315:0.231460:0.702315:0.231460:0.686119:0.214951:0.686119:0.000000:0.000000
(:@0.097895:0.702315:0.102729:0.702315:0.102729:0.686804:0.097895:0.686804:0.000000
):@0.148260:0.702315:0.153094:0.702315:0.153094:0.686804:0.148260:0.686804:0.000000
n:@0.091054:0.672350:0.096509:0.672350:0.096509:0.662964:0.091054:0.662964:0.000000
m:@0.116447:0.672350:0.124841:0.672350:0.124841:0.662964:0.116447:0.662964:0.000000
n:@0.153554:0.672350:0.159009:0.672350:0.159009:0.662964:0.153554:0.662964:0.000000
n:@0.091054:0.694715:0.096509:0.694715:0.096509:0.685329:0.091054:0.685329:0.000000
m:@0.114016:0.694715:0.122410:0.694715:0.122410:0.685329:0.114016:0.685329:0.000000
n  m:@0.179519:0.694715:0.204336:0.694715:0.204336:0.685329:0.179519:0.685329:0.000000:0.000000:0.000000:0.000000
n:@0.233308:0.694715:0.238763:0.694715:0.238763:0.685329:0.233308:0.685329:0.000000
⋅:@0.099877:0.680616:0.104437:0.680616:0.104437:0.665200:0.099877:0.665200:0.000000
=:@0.129939:0.680616:0.139953:0.680616:0.139953:0.665200:0.129939:0.665200:0.000000
+:@0.125944:0.702986:0.135958:0.702986:0.135958:0.687571:0.125944:0.687571:0.000000
=:@0.155896:0.702986:0.165911:0.702986:0.165911:0.687571:0.155896:0.687571:0.000000
+:@0.202777:0.702986:0.212792:0.702986:0.212792:0.687571:0.202777:0.687571:0.000000
 + :@0.158889:0.672739:0.169979:0.672739:0.169979:0.663805:0.158889:0.663805:0.000000:0.000000:0.000000
m:@0.169977:0.672350:0.178371:0.672350:0.178371:0.662964:0.169977:0.662964:0.000000
 + :@0.184852:0.695104:0.195942:0.695104:0.195942:0.686170:0.184852:0.686170:0.000000:0.000000:0.000000
 :@0.210235:0.695104:0.212878:0.695104:0.212878:0.686170:0.210235:0.686170:0.000000
     Matemática:@0.116511:0.577507:0.224052:0.577507:0.224052:0.560607:0.116511:0.560607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actúa de manera ética y :@0.084364:0.827693:0.249140:0.827693:0.249140:0.812794:0.084364:0.812794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sé ejemplo para tus :@0.115105:0.842780:0.249140:0.842780:0.249140:0.827881:0.115105:0.827881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compañeros. La cultura :@0.089775:0.857868:0.249139:0.857868:0.249139:0.842969:0.089775:0.842969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ética se construye :@0.125876:0.872955:0.249139:0.872955:0.249139:0.858056:0.125876:0.858056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
colectivamente y tu :@0.113094:0.888043:0.249139:0.888043:0.249139:0.873144:0.113094:0.873144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
influencia puede ser :@0.110313:0.903131:0.249140:0.903131:0.249140:0.888232:0.110313:0.888232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
significativa.:@0.164524:0.918218:0.245472:0.918218:0.245472:0.903319:0.164524:0.903319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Ética e integridad:@0.112540:0.794969:0.251767:0.794969:0.251767:0.778068:0.112540:0.778068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.32. :@0.290067:0.965521:0.338404:0.965521:0.338404:0.954766:0.290067:0.954766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular expresiones numéricas y algebraicas usando las operaciones básicas y las propiedades algebraicas en  .:@0.338404:0.965521:0.862690:0.965521:0.862690:0.955091:0.338404:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.852183:0.965890:0.860650:0.965890:0.860650:0.954687:0.852183:0.954687:0.000000