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\frac{\left(3r-1\right)\left(r+1\right)}{\left(r+1\right)\left(r+5\right)}\times \frac{r+5}{3r-1}
Factor the expressions that are not already factored in \frac{3r^{2}+2r-1}{r^{2}+6r+5}.
\frac{3r-1}{r+5}\times \frac{r+5}{3r-1}
Cancel out r+1 in both numerator and denominator.
\frac{\left(3r-1\right)\left(r+5\right)}{\left(r+5\right)\left(3r-1\right)}
Multiply \frac{3r-1}{r+5} times \frac{r+5}{3r-1} by multiplying numerator times numerator and denominator times denominator.
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Cancel out \left(3r-1\right)\left(r+5\right) in both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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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