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