Answer
$a^{3}-2a^{2}-18a+24$
Work Step by Step
$(a+4)(a^{2}-6a+6)=a(a^{2}-6a+6)+4(a^{2}-6a+6)=(a)(a^{2})+(a)(-6a)+(a)(6)+(4)(a^{2})+(4)(-6a)+(4)(6)=a^{3}-6a^{2}+6a+4a^{2}-24a+24=a^{3}-2a^{2}-18a+24$
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