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

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Answer 1 · 2016-05-25T16:33:42

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

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

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

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

$color(blue)(15ax - 10x) color(green)(-2y + 3ay ) =5x (3a - 2) + y ( -2 + 3a)$

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

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

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

How do you factor 15ax - 2y + 3ay - 10x15ax - 2y + 3ay - 10x by grouping?