Factor
2\left(x-2\right)\left(x^{3}-3\right)
Evaluate
2\left(x-2\right)\left(x^{3}-3\right)
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2\left(x^{4}-2x^{3}-3x+6\right)
Factor out 2.
x^{3}\left(x-2\right)-3\left(x-2\right)
Consider x^{4}-2x^{3}-3x+6. Do the grouping x^{4}-2x^{3}-3x+6=\left(x^{4}-2x^{3}\right)+\left(-3x+6\right), and factor out x^{3} in the first and -3 in the second group.
\left(x-2\right)\left(x^{3}-3\right)
Factor out common term x-2 by using distributive property.
2\left(x-2\right)\left(x^{3}-3\right)
Rewrite the complete factored expression. Polynomial x^{3}-3 is not factored since it does not have any rational roots.
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