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