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Simplify (frac{2}{a+b}-frac{1}{a-b})

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})

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