## Algebra: A Combined Approach (4th Edition)

$2(x+2)(x^{2}-2x+4)$
$2x^{3}+16$ $=2(x^{3}+8)$ $=2(x^{3}+2^{3})$ To simplify the expression further, we will use the equation for the sum of two cubes: $a^{3}+b^{3}=(a+b)(a^{2}-ab+b^{2})$. Therefore, $2(x^{3}+2^{3})=2(x+2)(x^{2}-2x+2^{2})=2(x+2)(x^{2}-2x+4)$.