Simplify (frac{x}{x + y}) + (frac{y}{x – y}) – (frac{x^2}{x^2 – y^2})

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