Respuesta :

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]

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