Factor
2\left(5x+1\right)\left(25x^{2}-5x+1\right)
Evaluate
250x^{3}+2
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2\left(125x^{3}+1\right)
Factor out 2.
\left(5x+1\right)\left(25x^{2}-5x+1\right)
Consider 125x^{3}+1. Rewrite 125x^{3}+1 as \left(5x\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).
2\left(5x+1\right)\left(25x^{2}-5x+1\right)
Rewrite the complete factored expression. Polynomial 25x^{2}-5x+1 is not factored since it does not have any rational roots.
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