Factorize a2x – b2y – b2x + a2y
-
A.
(a – b)(x + y) -
B.
(y – x)(a – b)(a + b) -
C.
(x – y)(a – b)(a + b) -
D.
(x + y)(a – b)(a + b)
Correct Answer: Option D
Explanation
a2x – b2y – b2x + a2y = a2x – b2x – b2y + a2y Rearrange
= x(a2 – b2) + y(a2 – b2)
= (x + y)(a2 – b2)
= (x + y)(a + b)(a + b)