Simplify (frac{1}{x – 2}) + (frac{1}{x + 2}) + (frac{2x}{x^2 – 4})
-
A.
(frac{2x}{(x – 2)(x + 2)(x^2 – 4)}) -
B.
(frac{2x}{x^2 – 4}) -
C.
(frac{x}{x^2 – 4}) -
D.
(frac{4x}{x^2 – 4})
Correct Answer: Option D
Explanation
(frac{1}{x – 2}) + (frac{1}{x + 2}) + (frac{2x}{x^2 – 4})
= (frac{(x + 2) + (x – 2) + 2x}{(x + 2)(x – 2)})
= (frac{4x}{x^2 – 4})