# How do you factor completely  14xy – 7x – 6y + 3?

Dec 31, 2015

=color(blue)((7x-3) (2y-1)

#### Explanation:

$14 x y - 7 x - 6 y + 3$

We can factor this expression by making groups of two terms:
color(blue)((14xy-7x)) + color(green)((-6y+3)

$7 x$ is common to both the terms in the first group, and $- 3$ is common to both the terms in the second group:

$= 7 x \left(2 y - 1\right) - 3 \left(2 y - 1\right)$

$\left(2 y - 1\right)$ is common to both the terms now
=color(blue)((7x-3) (2y-1)