Question

Factor by grouping:

2x - 18 + xy - 9y


a
(x - 9y)(2+y)
b
(x - 9)(2 + y)
c
(y - 9)(x + 2)
d
(y-9)(2x+y)

Answer 1

The idea is to group up the terms into two groups, factor each group and then factor out the overall GCF

2x - 18 + xy - 9y
(2x - 18) + (xy - 9y)
2(x - 9) + (xy - 9y)
2(x - 9) + y(x - 9)
(2 + y)(x - 9)
(x - 9)(2 + y)

Answer: Choice B