Question

2w^3 – 32w
Factor a difference of squares

Answer 1

`=2w\left(w+4\right)\left(w-4\right)`

Explanation:

`2w^3 - 32w\\`

Factor out 2w from the expression

`2w(w^2+16)`

Factor (w^2+16) according to difference of two squares principle

`(w^2 +16) = (w+4)(w-4)\\2w((w+4)(w-4)))`

Answer 2

`=2w\left(w+4\right)\left(w-4\right)`

Explanation:

`2w^3 - 3\\\\\mathrm{Factor\:out\:common\:term\:}2w:\quad 2w\left(w^2-16\right)\\=2w\left(w^2-16\right)\\\\\mathrm{Factor}\:w^2-16:\quad \left(w+4\right)\left(w-4\right)\\=2w\left(w+4\right)\left(w-4\right)`