Factor
\left(5y^{3}-4\right)\left(25y^{6}+20y^{3}+16\right)
Evaluate
125y^{9}-64
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\left(5y^{3}-4\right)\left(25y^{6}+20y^{3}+16\right)
Rewrite 125y^{9}-64 as \left(5y^{3}\right)^{3}-4^{3}. The difference of cubes can be factored using the rule: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right). The following polynomials are not factored since they do not have any rational roots: 5y^{3}-4,25y^{6}+20y^{3}+16.
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