Answer
$\frac{n+9}{n(n+1)}$
Work Step by Step
$\frac{9}{n}-\frac{8}{n+1}$
Add:
$=\frac{9(n+1)-8n}{n(n+1)}$
$=\frac{9n+9-8n}{n(n+1)}$
Simplify:
$=\frac{n+9}{n(n+1)}$
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