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


Question

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

Options

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) \(\frac{3a+11}{(a-3)(a+2)}\)

The correct answer is D.

Explanation:

\(\frac{4}{a-3}-\frac{1}{a+3}\\= \frac{4(a+2)-1(a-3)}{(a-3)(a+2)}\\=\frac{3a+11}{(a-3)(a+2)}
\)

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