Question

The factors of ax + bx - ay - by are __________.

• A. (a + b) and (x + y)
• B. (a - b) and (x - y)
• C. (a + b) and (x - y)
• D. (a - b) and (x + y)

Answer 1

The correct option is C

(a + b) and (x - y)

We need to regroup ax + bx - ay - by.

We get x(a+b) - y(a+b).

Taking (a+b) common from both the terms we get (a+b)(x-y).

Thus, (a+b) and (x-y) is the factors of ax + bx - ay - by .