Factor
3x\left(2x-3\right)\left(x^{2}-6\right)
Evaluate
3x\left(2x-3\right)\left(x^{2}-6\right)
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3\left(2x^{4}-3x^{3}-12x^{2}+18x\right)
Factor out 3.
x\left(2x^{3}-3x^{2}-12x+18\right)
Consider 2x^{4}-3x^{3}-12x^{2}+18x. Factor out x.
x^{2}\left(2x-3\right)-6\left(2x-3\right)
Consider 2x^{3}-3x^{2}-12x+18. Do the grouping 2x^{3}-3x^{2}-12x+18=\left(2x^{3}-3x^{2}\right)+\left(-12x+18\right), and factor out x^{2} in the first and -6 in the second group.
\left(2x-3\right)\left(x^{2}-6\right)
Factor out common term 2x-3 by using distributive property.
3x\left(2x-3\right)\left(x^{2}-6\right)
Rewrite the complete factored expression. Polynomial x^{2}-6 is not factored since it does not have any rational roots.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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