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

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Answer 1 · 2016-05-25T16:33:42

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

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

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

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

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

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

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

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

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