Factor
4x\left(x+3\right)\left(x^{2}+2\right)
Evaluate
4x\left(x+3\right)\left(x^{2}+2\right)
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4\left(x^{4}+3x^{3}+2x^{2}+6x\right)
Factor out 4.
x\left(x^{3}+3x^{2}+2x+6\right)
Consider x^{4}+3x^{3}+2x^{2}+6x. Factor out x.
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.
4x\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.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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