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\frac{3375y^{3}-64u^{3}}{27}
Factor out \frac{1}{27}.
\left(15y-4u\right)\left(225y^{2}+60uy+16u^{2}\right)
Consider 3375y^{3}-64u^{3}. Rewrite 3375y^{3}-64u^{3} as \left(15y\right)^{3}-\left(4u\right)^{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).
\frac{\left(15y-4u\right)\left(225y^{2}+60uy+16u^{2}\right)}{27}
Rewrite the complete factored expression.