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# Factorize completely the expression abx$$^2$$ + 6y - 3ax - 2byx.

### Question

Factorize completely the expression abx$$^2$$ + 6y - 3ax - 2byx.

### Options

A) (ax - 2y)(bx – 3)

B) (bx + 3)(2y – ax)

C) (bx + 3)(ax - 2y)

D) (ax – 2y)(ax – b)

## Dicussion (1)

• Collect terms that look closest to each other
(abx²-2byx)(6y-3ax)
What's common?
bx(ax-2y)-3(-2y-ax)
Note: always make sure the terms in both brackets are same to know if you're getting it
Collect the ones outside the brackets
(ax-2y)(bx-3)