Question

FACTORIZAR 3x(x-2)-2y(x-2)

Answer 1

Respuesta:   $\mathrm{Factorizar}\:3x^2-6x-2xy+4y:\quad \left(x-2\right)\left(3x-2y\right)$

Explicación paso a paso:

$3x\left(x-2\right)-2y\left(x-2\right)$

Expandir : $3x\left(x-2\right): 3x^2-6x$

$=3x^2-6x-2y\left(x-2\right)$

Expandir : $-2y\left(x-2\right) : -2xy+4y$

$=3x^2-6x-2xy+4y$

$=\left(3x^2-6x\right)+\left(4y-2xy\right)$

Factorizar: $4y-2xy$

$=-2y\left(-2+x\right)$

Factorizar  :$3x^2-6x$

$=3x\left(x-2\right)$

$=-2y\left(x-2\right)+3x\left(x-2\right)$

$\mathrm{Factorizar\:el\:termino\:comun\:}x-2$

$=\left(x-2\right)\left(3x-2y\right)$