Evaluate
\frac{s+5}{s-5}
Expand
\frac{s+5}{s-5}
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\frac{\left(s^{2}-25\right)\left(27s+135\right)}{\left(9s+45\right)\left(3s^{2}-30s+75\right)}
Divide \frac{s^{2}-25}{9s+45} by \frac{3s^{2}-30s+75}{27s+135} by multiplying \frac{s^{2}-25}{9s+45} by the reciprocal of \frac{3s^{2}-30s+75}{27s+135}.
\frac{27\left(s-5\right)\left(s+5\right)^{2}}{3\times 9\left(s+5\right)\left(s-5\right)^{2}}
Factor the expressions that are not already factored.
\frac{s+5}{s-5}
Cancel out 3\times 9\left(s-5\right)\left(s+5\right) in both numerator and denominator.
\frac{\left(s^{2}-25\right)\left(27s+135\right)}{\left(9s+45\right)\left(3s^{2}-30s+75\right)}
Divide \frac{s^{2}-25}{9s+45} by \frac{3s^{2}-30s+75}{27s+135} by multiplying \frac{s^{2}-25}{9s+45} by the reciprocal of \frac{3s^{2}-30s+75}{27s+135}.
\frac{27\left(s-5\right)\left(s+5\right)^{2}}{3\times 9\left(s+5\right)\left(s-5\right)^{2}}
Factor the expressions that are not already factored.
\frac{s+5}{s-5}
Cancel out 3\times 9\left(s-5\right)\left(s+5\right) 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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