Factor
\frac{\left(3-x\right)\left(x^{2}-3\right)}{3}
Evaluate
-\frac{x^{3}}{3}+x^{2}+x-3
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\frac{-9-x^{3}+3x^{2}+3x}{3}
Factor out \frac{1}{3}.
x^{2}\left(-x+3\right)-3\left(-x+3\right)
Consider -9-x^{3}+3x^{2}+3x. Do the grouping -9-x^{3}+3x^{2}+3x=\left(-x^{3}+3x^{2}\right)+\left(3x-9\right), and factor out x^{2} in the first and -3 in the second group.
\left(-x+3\right)\left(x^{2}-3\right)
Factor out common term -x+3 by using distributive property.
\frac{\left(x^{2}-3\right)\left(-x+3\right)}{3}
Rewrite the complete factored expression. Polynomial x^{2}-3 is not factored since it does not have any rational roots.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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