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x^{3}\left(16x^{2}-81\right)
Factor out x^{3}.
\left(4x-9\right)\left(4x+9\right)
Consider 16x^{2}-81. Rewrite 16x^{2}-81 as \left(4x\right)^{2}-9^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
x^{3}\left(4x-9\right)\left(4x+9\right)
Rewrite the complete factored expression.