Factor
31\left(2x+1\right)\left(4x^{2}-2x+1\right)
Evaluate
248x^{3}+31
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31\left(8x^{3}+1\right)
Factor out 31.
\left(2x+1\right)\left(4x^{2}-2x+1\right)
Consider 8x^{3}+1. Rewrite 8x^{3}+1 as \left(2x\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).
31\left(2x+1\right)\left(4x^{2}-2x+1\right)
Rewrite the complete factored expression. Polynomial 4x^{2}-2x+1 is not factored since it does not have any rational roots.
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