Answer
$n^2+7n+12$
Work Step by Step
Since,we have $\dfrac{(n+4)!}{(n+2)!}$
Thus,
$\dfrac{(n+4)!}{(n+2)!}=\dfrac{n+4 \cdot n+3 \cdot n+2 !}{n+2!}$
or, $=(n+4)(n+3)$
or, $=n^2+7n+12$
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