Simplify (frac{2}{a+b}-frac{1}{a-b})
-
A.
(frac{3}{a+b}) -
B.
(frac{a-3b}{a^2-b^2}) -
C.
(frac{3a-b}{a^2 – b^2}) -
D.
(frac{a-3b}{a^2+b^2})
Correct Answer: Option B
Explanation
Simplify (frac{2}{a+b}-frac{1}{a-b}; frac{2(a-b)-1(a+b)}{(a+b)(a-b)})
= (frac{2a-2b-a-b}{(a+b)(a-b)})
= (frac{a-3b}{a^2 – ab + ab – b^2})
= (frac{a-3b}{a^2-b^2})