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\frac{z+4}{z+5}
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\frac{z+4}{z+5}
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\frac{\left(z+4\right)^{3}\left(z^{2}+10z+25\right)}{\left(z+5\right)^{3}\left(z^{2}+8z+16\right)}
Multiply \frac{\left(z+4\right)^{3}}{\left(z+5\right)^{3}} times \frac{z^{2}+10z+25}{z^{2}+8z+16} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(z+5\right)^{2}\left(z+4\right)^{3}}{\left(z+4\right)^{2}\left(z+5\right)^{3}}
Factor the expressions that are not already factored.
\frac{z+4}{z+5}
Cancel out \left(z+4\right)^{2}\left(z+5\right)^{2} in both numerator and denominator.
\frac{\left(z+4\right)^{3}\left(z^{2}+10z+25\right)}{\left(z+5\right)^{3}\left(z^{2}+8z+16\right)}
Multiply \frac{\left(z+4\right)^{3}}{\left(z+5\right)^{3}} times \frac{z^{2}+10z+25}{z^{2}+8z+16} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(z+5\right)^{2}\left(z+4\right)^{3}}{\left(z+4\right)^{2}\left(z+5\right)^{3}}
Factor the expressions that are not already factored.
\frac{z+4}{z+5}
Cancel out \left(z+4\right)^{2}\left(z+5\right)^{2} in both numerator and denominator.
Examples
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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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