Factor
\left(3x+1\right)\left(9x^{2}-3x+1\right)
Evaluate
27x^{3}+1
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\left(3x+1\right)\left(9x^{2}-3x+1\right)
Rewrite 1+27x^{3} as \left(3x\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). Polynomial 9x^{2}-3x+1 is not factored since it does not have any rational roots.
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