# How do you factor xy + x + 3y + 3?

Jun 18, 2015

Factor by grouping:

$x y + x + 3 y + 3 = \left(x + 3\right) \left(y + 1\right)$

#### Explanation:

$x y + x + 3 y + 3$

$= \left(x y + x\right) + \left(3 y + 3\right)$

$= x \left(y + 1\right) + 3 \left(y + 1\right)$

$= \left(x + 3\right) \left(y + 1\right)$