Answer
$\frac{t+2}{t+4}$
Work Step by Step
We can remove a factor of : $\frac{t-4}{t-4}=1$
$\frac{t^2-2t-8}{t^2-16}=\frac{(t-4)(t+2)}{(t+4)(t-4)}=\frac{t+2}{t+4}$
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