How do you factor 5w + 5z + xw + xz?

Sep 24, 2015

Factor by grouping:

$5 w + 5 z + x w + x z = \left(5 + x\right) \left(w + z\right)$

Explanation:

$5 w + 5 z + x w + x z$

$= \left(5 w + 5 z\right) + \left(x w + x z\right)$

$= 5 \left(w + z\right) + x \left(w + z\right)$

$= \left(5 + x\right) \left(w + z\right)$