Question

(144 x^2-9y^2)/(12 x-3y)

Answer 1

$=\frac{144x^{2}-9y^{2} }{12x-3y}$

$\bold{Factorizar\:144x^{2}- 9y^{2} }$

$=\frac{9\left(16x^2-y^2\right)}{12x-3y}$

$\bold{Factorizar\:12x- 3y }$

$=\frac{9\left(16x^2-y^2\right)}{3\left(4x-y\right)}$

$\bold{Dividir}$

$=\frac{3\left(16x^2-y^2\right)}{\left(4x-y\right)}$

$\bold{Factorizar\:3(16x^{2} -y^{2}) }$

$=\frac{3\left(4x+y\right)\left(4x-y\right)}{\left(4x-y\right)}$

$\bold{Eliminar\:terminos\:comunes}$

$=3\left(4x+y\right)==>\bold{resultado}$

$\boxed{\boxed{\bold{Espero \:haberte \:ayudado.} } }$