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Simplify \(\frac{4}{a-3}-\frac{1}{a+2}\)

Mathematics
WAEC 2003

Simplify \(\frac{4}{a-3}-\frac{1}{a+2}\)

  • A. \(\frac{3a+11}{(a-3)(a-2)}\)
  • B. \(\frac{3a+11}{(a+3)(a-2)}\)
  • C. \(\frac{3a+11}{(a+3)(a+2)}\)
  • D. \(\frac{3a+11}{(a-3)(a+2)}\)
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Correct Answer: Option D
Explanation

\(\frac{4}{a-3}-\frac{1}{a+3}\)


= \(\frac{4(a+2)-1(a-3)}{(a-3)(a+2)}\)

\(\frac{4a+8 -a +3}{(a-3)(a+2)}\)


= \(\frac{3a+11}{(a-3)(a+2)}\)


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