Factor
3\left(5x-3\right)\left(25x^{2}+15x+9\right)
Evaluate
375x^{3}-81
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3\left(-27+125x^{3}\right)
Factor out 3.
\left(5x-3\right)\left(25x^{2}+15x+9\right)
Consider -27+125x^{3}. Rewrite -27+125x^{3} as \left(5x\right)^{3}-3^{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).
3\left(5x-3\right)\left(25x^{2}+15x+9\right)
Rewrite the complete factored expression. Polynomial 25x^{2}+15x+9 is not factored since it does not have any rational roots.
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