What is a factor of 15xy-45x-6y+18?

A. Y-2

B. 5x-3

C. 5x-2

D. Y-6

Factor the following:

15 x y - 45 x - 6 y + 18

Factor 3 out of 15 x y - 45 x - 6 y + 18:

3 (5 x y - 15 x - 2 y + 6)

Factor terms by grouping. 5 x y - 15 x - 2 y + 6 = (5 x y - 2 y) + (6 - 15 x) = y (5 x - 2) - 3 (5 x - 2):

3 y (5 x - 2) - 3 (5 x - 2)

Factor 5 x - 2 from y (5 x - 2) - 3 (5 x - 2):

Answer: 3 (5 x - 2) (y - 3)