Question

BALDOR, Ejercicio 120, página 202

Simplificar o reducir a su más simple expresión

Answer 1

$Hola~~~\mathbb{LADYBIRD} \\ \\ Sea~la~expresi\acute{o}n: \\ \\ \frac{3ax-3bx-6a+6b}{2b-2a-bx+ax}~~~---\ \textgreater \ agrupando~numerador~y~denominador \\ \\ \frac{(3ax-6a)-(3bx-6b)}{(2b-2a)-(bx-ax)} ~~---\ \textgreater \ factorizando \\ \\ \frac{3a(x-2)-3b(x-2)}{2(b-a)-x(b-a)} ~~--\ \textgreater \ continuamos~factorizando \\ \\ \frac{(x-2)[3a-3b]}{(b-a)[2-x]} \\ \\ \frac{(x-2).-3(b-a)}{(b-a)(2-x)} ~~---\ \textgreater \ simplificamos~(b-a)~nos~queda$

$\frac{-3(x-2)}{(2-x)} ~~--\ \textgreater \ hacemos~cambio~del~signo~en~el~numerador~vea \\ \\ \frac{3(2-x)}{(2-x)} ~~---\ \textgreater \ cancelamos~(2-x)~nos~queda. \\ \\ \boxed{\boxed{3}} \\ \\ \mathbb{qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq}\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Saludos!!$