Answer
(a-3)$(a+4)^{2}$
Work Step by Step
Denominators: $a^{2}$+8a+16, $a^{2}$+a-12
$a^{2}$+8a+16 factors:a+4, a+4
$a^{2}$+a-12 factors: a+4, a-3
(a+4)*(a+4)*(a-3) = (a-3)$(a+4)^{2}$
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