Factorize (x + y) (ax — ay)

Question

A. (x — y)(1 — a)
B. (x + y)(1 + a)
C. (x + y)(1 — a)
D. (x — y)(1 + a)

Answer 1

The correct factorization is:

(x + y)(ax - ay) = x(ax - ay) + y(ax - ay) = ax^2 - axy + axy - ay^2 = ax^2 - ay^2

Therefore, the correct option is:
D. (x - y)(1 + a)