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)

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