# How do you factor ac - 3ad - 2bc + 6bd?

Apr 27, 2018

$\left(a - 2 b\right) \left(c - 3 d\right)$

#### Explanation:

$a c - 3 a d - 2 b c + 6 b d$

Factorise $a$ out of the first two terms, and $- 2 b$ out of the last two terms,

$a \left(c - 3 d\right) - 2 b \left(c - 3 d\right)$

Factorise $\left(c - 3 d\right)$ from both terms,

$\left(a - 2 b\right) \left(c - 3 d\right)$