Factorize a

^{2}x – b^{2}y – b^{2}x + a^{2}y-
**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

a^{2}x – b^{2}y – b^{2}x + a^{2}y = a^{2}x – b^{2}x – b^{2}y + a^{2}y Rearrange

= x(a^{2} – b^{2}) + y(a^{2} – b^{2})

= (x + y)(a^{2} – b^{2})

= (x + y)(a + b)(a + b)