Question

Select the factors of ax − 2ay + 3bx − 6by.

(a + 2b)(x − 3y)
(a − 2b)(x + 3y)
(a + 3b)(x − 2y)
(a − 3b)(x + 2y)

Answer 1

ax - 2ay + 3bx - 6by
a(x) - a(2y) + 3b(x) - 3b(2y)
a(x - 2y) + 3b(x - 2y)
(a + 3b)(x - 2y)

The answer is C.

Answer 2

The factors of the expression ax − 2ay + 3bx − 6by = 0 given in the questions are (a + 3b)(x - 2y) .

Explanation:

As the expression is given in the question be as follow .

ax − 2ay + 3bx − 6by = 0

Simplify the above

a (x - 2y) + 3b (x - 2y) = 0

(a + 3b)(x - 2y) = 0

Therefore the factors of the expression ax − 2ay + 3bx − 6by = 0 given in the questions are (a + 3b)(x - 2y) .