Factor completely: 3ax + 6ay - 2x - 4y
A)(x + 2y)(3a - 2)
B)(x - 2y)(3x - 2)
C)-6a(x + 2y)
D)(x + 2y)(x - 2y)(3a - 2)

Question

Quizplus · Accepted Answer

We can factor out the greatest common factor of 3 and 2 from the first two terms and the last two terms separately to get:
3ax + 6ay = 3a(x + 2y)
-2x - 4y = -2(x + 2y)
Then, we can factor out a common factor of (x + 2y) to get:
3a(x + 2y) - 2(x + 2y) = (x + 2y)(3a - 2)
Therefore, the answer is choice A, (x + 2y)(3a - 2).

Factor Completely: 3ax + 6ay - 2x - 4y