## Intermediate Algebra: Connecting Concepts through Application

$3(g-2)(g^2+2g+4)$
First, pull out the greatest common factor. Then use the formula $a^3-b^3=(a-b)(a^2+ab+b^2)$ to factor. $3g^3-24$ $=3(g^3-8)$ $=3(g-2)(g^2+2g+4)$