Evaluate
z\left(z-6\right)
Expand
z^{2}-6z
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\frac{\left(z+6\right)\left(z^{2}-6z+36\right)}{\left(z-6\right)\left(z+6\right)z^{5}}\times \frac{z^{8}-12z^{7}+36z^{6}}{z^{2}-6z+36}
Factor the expressions that are not already factored in \frac{z^{3}+216}{z^{7}-36z^{5}}.
\frac{z^{2}-6z+36}{\left(z-6\right)z^{5}}\times \frac{z^{8}-12z^{7}+36z^{6}}{z^{2}-6z+36}
Cancel out z+6 in both numerator and denominator.
\frac{\left(z^{2}-6z+36\right)\left(z^{8}-12z^{7}+36z^{6}\right)}{\left(z-6\right)z^{5}\left(z^{2}-6z+36\right)}
Multiply \frac{z^{2}-6z+36}{\left(z-6\right)z^{5}} times \frac{z^{8}-12z^{7}+36z^{6}}{z^{2}-6z+36} by multiplying numerator times numerator and denominator times denominator.
\frac{z^{8}-12z^{7}+36z^{6}}{\left(z-6\right)z^{5}}
Cancel out z^{2}-6z+36 in both numerator and denominator.
\frac{\left(z-6\right)^{2}z^{6}}{\left(z-6\right)z^{5}}
Factor the expressions that are not already factored.
z\left(z-6\right)
Cancel out \left(z-6\right)z^{5} in both numerator and denominator.
z^{2}-6z
Expand the expression.
\frac{\left(z+6\right)\left(z^{2}-6z+36\right)}{\left(z-6\right)\left(z+6\right)z^{5}}\times \frac{z^{8}-12z^{7}+36z^{6}}{z^{2}-6z+36}
Factor the expressions that are not already factored in \frac{z^{3}+216}{z^{7}-36z^{5}}.
\frac{z^{2}-6z+36}{\left(z-6\right)z^{5}}\times \frac{z^{8}-12z^{7}+36z^{6}}{z^{2}-6z+36}
Cancel out z+6 in both numerator and denominator.
\frac{\left(z^{2}-6z+36\right)\left(z^{8}-12z^{7}+36z^{6}\right)}{\left(z-6\right)z^{5}\left(z^{2}-6z+36\right)}
Multiply \frac{z^{2}-6z+36}{\left(z-6\right)z^{5}} times \frac{z^{8}-12z^{7}+36z^{6}}{z^{2}-6z+36} by multiplying numerator times numerator and denominator times denominator.
\frac{z^{8}-12z^{7}+36z^{6}}{\left(z-6\right)z^{5}}
Cancel out z^{2}-6z+36 in both numerator and denominator.
\frac{\left(z-6\right)^{2}z^{6}}{\left(z-6\right)z^{5}}
Factor the expressions that are not already factored.
z\left(z-6\right)
Cancel out \left(z-6\right)z^{5} in both numerator and denominator.
z^{2}-6z
Expand the expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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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