Answer
$a^3+8$
Work Step by Step
$(a+2)(a^2-2a+4)\rightarrow$ apply the distributive property
=$(a+2)(a^2)-(a+2)(2a)+(a+2)(4)\rightarrow$ apply the distributive property
=$a^3+2a^2-2a^2-4a+4a+8\rightarrow$ combine like terms
=$a^3+8$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.