Factor
\left(5z-2\right)\left(2z^{2}+5\right)
Evaluate
\left(5z-2\right)\left(2z^{2}+5\right)
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5z\left(2z^{2}+5\right)-2\left(2z^{2}+5\right)
Do the grouping 10z^{3}+25z-4z^{2}-10=\left(10z^{3}+25z\right)+\left(-4z^{2}-10\right), and factor out 5z in the first and -2 in the second group.
\left(2z^{2}+5\right)\left(5z-2\right)
Factor out common term 2z^{2}+5 by using distributive property. Polynomial 2z^{2}+5 is not factored since it does not have any rational roots.
Examples
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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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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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