Answer
$\frac{(t-3)}{(t+3)(t-2)}$
Work Step by Step
$\frac{t^2-t-6}{t^2+6t+9}\frac{t+3}{t^2-4}=\frac{(t+2)(t-3)}{(t+3)^2}\frac{t+3}{(t+2)(t-2)}=\frac{(t+2)(t-3)(t+3)}{(t+3)^2(t+2)(t-2)}=\frac{(t-3)}{(t+3)(t-2)}$
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