Answer:
[tex]=2w\left(w+4\right)\left(w-4\right)[/tex]
Step-by-step explanation:
[tex]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)[/tex]
Answer:
[tex]=2w\left(w+4\right)\left(w-4\right)[/tex]
Step-by-step explanation:
[tex]2w^3 - 32w\\[/tex]
Factor out 2w from the expression
[tex]2w(w^2+16)[/tex]
Factor (w^2+16) according to difference of two squares principle
[tex](w^2 +16) = (w+4)(w-4)\\2w((w+4)(w-4)))[/tex]