# How do you factor completely vwx + wxy - xyz?

Apr 24, 2016

$v w x + w x y - x y z = x \left(v w + w y - y z\right)$

#### Explanation:

All of the terms are divisible by $x$, so we can separate that out as a factor:

$v w x + w x y - x y z = x \left(v w + w y - y z\right)$

It is not possible to factor this further.

Note that if there was an additional term $- v x z$ in the original expression then we would be able to factor further:

$v w x + w x y - x y z - v x z = x \left(w - z\right) \left(v + y\right)$