Factor
8\left(z+2w\right)\left(z^{2}-2wz+4w^{2}\right)
Evaluate
8\left(z^{3}+8w^{3}\right)
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8\left(z^{3}+8w^{3}\right)
Factor out 8.
\left(z+2w\right)\left(z^{2}-2wz+4w^{2}\right)
Consider z^{3}+8w^{3}. Rewrite z^{3}+8w^{3} as z^{3}+\left(2w\right)^{3}. The sum of cubes can be factored using the rule: a^{3}+b^{3}=\left(a+b\right)\left(a^{2}-ab+b^{2}\right).
8\left(z+2w\right)\left(z^{2}-2wz+4w^{2}\right)
Rewrite the complete factored expression.
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