Evaluate
2z\left(4z+15\right)
Factor
2z\left(4z+15\right)
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8z^{2}-\left(-30z\right)
Multiply 10 and -3 to get -30.
8z^{2}+30z
The opposite of -30z is 30z.
2\left(4z^{2}+15z\right)
Factor out 2.
z\left(4z+15\right)
Consider 4z^{2}+15z. Factor out z.
2z\left(4z+15\right)
Rewrite the complete factored expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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
\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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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