Factor
\frac{\left(3x+4\right)\left(9x^{2}-12x+16\right)}{216}
Evaluate
\frac{x^{3}}{8}+\frac{8}{27}
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\frac{27x^{3}+64}{216}
Factor out \frac{1}{216}.
\left(3x+4\right)\left(9x^{2}-12x+16\right)
Consider 27x^{3}+64. Rewrite 27x^{3}+64 as \left(3x\right)^{3}+4^{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).
\frac{\left(3x+4\right)\left(9x^{2}-12x+16\right)}{216}
Rewrite the complete factored expression. Polynomial 9x^{2}-12x+16 is not factored since it does not have any rational roots.
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