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