Simplify frac 2 a b - frac 1 a-b - WAEC Mathematics 2004 Question
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
\(\frac{a-3b}{a^2+b^2}\)
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Correct Option: B
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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