Factor
2\left(x-2\right)\left(5x^{2}-1\right)
Evaluate
2\left(x-2\right)\left(5x^{2}-1\right)
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2\left(5x^{3}-10x^{2}-x+2\right)
Factor out 2.
5x^{2}\left(x-2\right)-\left(x-2\right)
Consider 5x^{3}-10x^{2}-x+2. Do the grouping 5x^{3}-10x^{2}-x+2=\left(5x^{3}-10x^{2}\right)+\left(-x+2\right), and factor out 5x^{2} in the first and -1 in the second group.
\left(x-2\right)\left(5x^{2}-1\right)
Factor out common term x-2 by using distributive property.
2\left(x-2\right)\left(5x^{2}-1\right)
Rewrite the complete factored expression. Polynomial 5x^{2}-1 is not factored since it does not have any rational roots.
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