Select the factors of 6ab + 3ay - 2bx - xy.
(3a - x)(2b + y)
(3a - y)(2b + x)
(2a - x)(3b + y)
(2a - y)(3b + x)

Solution:

Given polynomial is 6ab + 3ay - 2bx - xy

Let us factor the polynomial by grouping the terms and taking the common factors out.

⇒ 6ab + 3ay - 2bx - xy

⇒ 3a(2b + y) - x(2b + y)

⇒ (3a - x)(2b + y)

Option (i) is the answer.

Therefore, the factors of 6ab + 3ay - 2bx - xy is (3a - x)(2b + y).

Select the factors of 6ab + 3ay - 2bx - xy.

Summary:

The factors of 6ab + 3ay - 2bx - xy is (3a - x)(2b + y).