Which is the factor of 15xy-45x-6y+18?

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

Step-by-step explanation:

Factor the following:

15 x y - 6 y - 45 x + 18

Hint: | Factor out the greatest common divisor of the coefficients of 15 x y - 6 y - 45 x + 18.

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

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

Hint: | Factor pairs of terms in 5 x y - 2 y - 15 x + 6 by grouping.

Factor terms by grouping. 5 x y - 2 y - 15 x + 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)

Hint: | Factor common terms from y (5 x - 2) - 3 (5 x - 2).

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

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