# How do you factor by grouping ac-bc+ad-bd?

Apr 9, 2015

$a c - b c + a d - b d$

can be grouped as:
$\left(a c - b c\right) + \left(a d - b d\right)$

extracting common factors from each term:
$c \left(a - b\right) + d \left(a - b\right)$

then extract the common factor $\left(a - b\right)$:
$\left(c + d\right) \left(a - b\right)$