Question

Select the factors of 6ab + 3ay - 2bx - xy.

(3a - x) (2b + y)
(3a - y)(2b + x)
(2a - x)(3b + y)
(2a - y)(3b + x)

Answer 1

do you know how to factor by grouping?

Answer 2

I think its A.....

Answer 3

I think its A.....

Answer 4

basically, take the first two terms (6ab + 3ay) and pick what they both have in common.
they both have an a and three can fit into both of them so factor out 3a.
6ab/3a = 2b and 3ay/3a = y so you get (2b + y)

3a(2b+y)

then take the next two terms (-2bx - xy) and do the same thing:
they both have a negative 1 and they both have an x so factor out -x.
-2bx/-x = 2b and -xy/-x = y so you get (2b + y)

-x(2b + y)

take the two terms you factored out and put them together (3a - x)
and the factors you got from both groups (2b + y) and those are your factors:

(3a - x) and (2b + y)

so yes a is correct