# How do you group this 2ax + 3bx + 8ay +12by as a factor?

2
by co406t

2015-09-25T21:22:10+08:00

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(2ax + 3bx) + (8ay + 12by)
= x (2a + 3b) + 4y (2a + 3b)
= (x + 4y)(2a + 3b)
2015-09-25T21:24:09+08:00

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Factoring by Grouping

2ax + 3bx + 8ay + 12by = (x+4y) (2a+3b)

First, group terms with common variables.
(2ax + 3bx) + (8ay + 12by)

Factor each using GCMF or greatest common monomial factor
x(2a + 3b) + 4y (2a + 3b)

Lastly, simplify it. In this case, we can simply copy one (2a + 3b) then combine their common factors which are x and 4y.
(x + 4y) (2a + 3b)
-KookEin