Answer
$\frac{5}{s+5}$
Work Step by Step
$\frac{5s-25}{s^{2}-25}=\frac{5(s-5)}{(s+5)(s-5)}=\frac{5}{s+5}\times\frac{s-5}{s-5}=\frac{5}{s+5}\times1=\frac{5}{s+5}$
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