Factor
\frac{\left(12x+1\right)\left(144x^{2}-12x+1\right)}{1728}
Evaluate
x^{3}+\frac{1}{1728}
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\frac{1728x^{3}+1}{1728}
Factor out \frac{1}{1728}.
\left(12x+1\right)\left(144x^{2}-12x+1\right)
Consider 1728x^{3}+1. Rewrite 1728x^{3}+1 as \left(12x\right)^{3}+1^{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(12x+1\right)\left(144x^{2}-12x+1\right)}{1728}
Rewrite the complete factored expression. Polynomial 144x^{2}-12x+1 is not factored since it does not have any rational roots.
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