Simplify: (frac{x^2 – y^2}{(x + y)^2} + frac{(x – y)^2}{(3x + 3y)})
-
A.
(frac{x – y}{3}) -
B.
x + y -
C.
(frac{3}{x – y}) -
D.
x – y
Correct Answer: Option C
Explanation
(frac{x^2 – y^2}{(x + y)^2} + frac{(x – y)^2}{(3x + 3y)})
(frac{(x + y)(x – y)}{(x + y)(x + y)} + frac{(x – y)(x – y)}{3(x + y)})
= (frac{3}{x – y})