Answer
$\frac{x-3}{x+2}$
Work Step by Step
We factor the left side and reduce:
$\displaystyle \frac{x^{2}+2x-15}{x^{2}-25}*\frac{x-5}{x+2}=\frac{(x+5)(x-3)(x-5)}{(x+5)(x-5)(x+2)}=\frac{x-3}{x+2}$
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