Factor
\left(a-5\right)\left(a^{2}+6\right)
Evaluate
\left(a-5\right)\left(a^{2}+6\right)
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a\left(a^{2}+6\right)-5\left(a^{2}+6\right)
Do the grouping a^{3}+6a-5a^{2}-30=\left(a^{3}+6a\right)+\left(-5a^{2}-30\right), and factor out a in the first and -5 in the second group.
\left(a^{2}+6\right)\left(a-5\right)
Factor out common term a^{2}+6 by using distributive property. Polynomial a^{2}+6 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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Matrix
\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]
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\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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