Question

Factor completely: 16-2x^3

Answer 1

$16-2x^3=2(8-x^3)=2(2^3-x^3)\\\\\text{use}\ a^3-b^3=(a-b)(a^2-ab+b^2)\\\\=2(2-x)(2^2+2x+x^2)\\\\=\boxed{2(2-x)(4+2x+x^2)}$