# How do you factor 4ab+1-2a-2b?

Apr 21, 2018

$4 a b + 1 - 2 a - 2 b = \left(1 - 2 a\right) \left(1 - 2 b\right)$

#### Explanation:

$4 a b + 1 - 2 a - 2 b$

It's not really necessary, but let's commute the terms a little.

$= 1 - 2 a - 2 b + 4 a b$

Now factor out $- 2 b$ from the last two terms.

$= \left(1 - 2 a\right) - 2 b \left(1 - 2 a\right)$

Now factor $\left(1 - 2 a\right)$ out of both terms.

$= \left(1 - 2 a\right) \left(1 - 2 b\right)$