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. \(\frac{3a+11}{(a-3)(a+2)}\)
Correct Answer: D. \(\frac{3a+11}{(a-3)(a+2)}\)
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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