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