# How do you factor 15ax - 2y + 3ay - 10x by grouping?

May 25, 2016

 color(green)((5x+y) (3a - 2)  is the factorised form of the equation.

#### Explanation:

 color(blue)(15ax - 10x) color(green)(-2y + 3ay

We can factor this expression by making groups of two terms:

$5 x$ is common to both the terms in the first group, and $y$ is common to both the terms in the second group

$\textcolor{b l u e}{15 a x - 10 x} \textcolor{g r e e n}{- 2 y + 3 a y} = 5 x \left(3 a - 2\right) + y \left(- 2 + 3 a\right)$

$= 5 x \left(3 a - 2\right) + y \left(3 a - 2\right)$

$3 a - 2$ is common to both the terms now

 = color(green)((5x+y) (3a - 2)