# How do you factor 3x^2 - 2x + 12xy - 8y?

Aug 18, 2016

$3 {x}^{2} - 2 x + 12 x y - 8 y = \left(x + 4 y\right) \left(3 x - 2\right)$

#### Explanation:

Factor by grouping as follows:

$3 {x}^{2} - 2 x + 12 x y - 8 y$

$= \left(3 {x}^{2} - 2 x\right) + \left(12 x y - 8 y\right)$

$= x \left(3 x - 2\right) + 4 y \left(3 x - 2\right)$

$= \left(x + 4 y\right) \left(3 x - 2\right)$