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

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Mlcparra16id
(2ax + 3bx) + (8ay + 12by)
= x (2a + 3b) + 4y (2a + 3b)
= (x + 4y)(2a + 3b)
KookEinid
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

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