#### Answer

$\frac{9x-17}{(x-3)(x+2)}$

#### Work Step by Step

Clearly LCD$=(x-3)(x+2)$, thus $\frac{2}{x-3}+\frac{7}{x+2}=\frac{2(x+2)+7(x-3)}{(x-3)(x+2)}=\frac{2x+4+7x-21}{(x-3)(x+2)}=\frac{9x-17}{(x-3)(x+2)}$

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Published by
Pearson

ISBN 10:
0-13417-894-7

ISBN 13:
978-0-13417-894-3

$\frac{9x-17}{(x-3)(x+2)}$

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