Factor
\left(10x+1\right)\left(100x^{2}-10x+1\right)
Evaluate
1000x^{3}+1
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\left(10x+1\right)\left(100x^{2}-10x+1\right)
Rewrite 1+1000x^{3} as \left(10x\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 100x^{2}-10x+1 is not factored since it does not have any rational roots.
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