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