Factor
\left(xy^{4}+8\right)\left(x^{2}y^{8}-8xy^{4}+64\right)
Evaluate
x^{3}y^{12}+512
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x^{3}y^{12}+512
Multiply and combine like terms.
\left(xy^{4}+8\right)\left(x^{2}y^{8}-8xy^{4}+64\right)
Rewrite x^{3}y^{12}+512 as \left(xy^{4}\right)^{3}+8^{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).
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