# How do you factor av-aw-bv+bw?

Apr 17, 2015

We use the Grouping Technique to factorise this expression.

$a v - a w - b v + b w$

$= \left(a v - a w\right) - \left(b v - b w\right)$

$= a \left(v - w\right) - b \left(v - w\right)$

$v - w$ is a common factor to both the terms

color(green)( = (v - w)(a - b)

The above is the factorised version of $a v - a w - b v + b w$