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 \(\frac{a-3b}{a^2+b^2}\)
waec 2004mathematics

The correct answer is B. \(\frac{a-3b}{a^2-b^2}\)

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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