# How do you factor 3xy + 12x – 2y – 8 ?

May 9, 2015

The answer is $\left(3 x - 2\right) \left(y + 4\right)$ .

Factor $3 x y + 12 x - 2 y - 8$ .

There is no common factor, so use the factor by grouping method. Separate the terms into two groups.

color(red)(3xy+12x)color(blue)(-(2y-8)

Factor out $\textcolor{red}{3 x}$ from the first group.

color(red)(3x(y+4)color(blue)(-(2y-8)

Factor out color(blue)(-2 from the second group.

color(red)(3x(y+4)color(blue)((-2)(y+4)

$\textcolor{p u r p \le}{y + 4}$ is a common factor.

color(red)(3x(y+4)color(blue)((-2)(y+4) =

color(purple)((3x-2)(y+4)