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\frac{r-7}{5r-1}
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\frac{r-7}{5r-1}
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\frac{\left(r-7\right)\left(5r-1\right)}{\left(5r-1\right)\left(r+5\right)}\times \frac{7r^{2}+34r-5}{35r^{2}-12r+1}
Factor the expressions that are not already factored in \frac{5r^{2}-36r+7}{5r^{2}+24r-5}.
\frac{r-7}{r+5}\times \frac{7r^{2}+34r-5}{35r^{2}-12r+1}
Cancel out 5r-1 in both numerator and denominator.
\frac{r-7}{r+5}\times \frac{\left(7r-1\right)\left(r+5\right)}{\left(5r-1\right)\left(7r-1\right)}
Factor the expressions that are not already factored in \frac{7r^{2}+34r-5}{35r^{2}-12r+1}.
\frac{r-7}{r+5}\times \frac{r+5}{5r-1}
Cancel out 7r-1 in both numerator and denominator.
\frac{\left(r-7\right)\left(r+5\right)}{\left(r+5\right)\left(5r-1\right)}
Multiply \frac{r-7}{r+5} times \frac{r+5}{5r-1} by multiplying numerator times numerator and denominator times denominator.
\frac{r-7}{5r-1}
Cancel out r+5 in both numerator and denominator.
\frac{\left(r-7\right)\left(5r-1\right)}{\left(5r-1\right)\left(r+5\right)}\times \frac{7r^{2}+34r-5}{35r^{2}-12r+1}
Factor the expressions that are not already factored in \frac{5r^{2}-36r+7}{5r^{2}+24r-5}.
\frac{r-7}{r+5}\times \frac{7r^{2}+34r-5}{35r^{2}-12r+1}
Cancel out 5r-1 in both numerator and denominator.
\frac{r-7}{r+5}\times \frac{\left(7r-1\right)\left(r+5\right)}{\left(5r-1\right)\left(7r-1\right)}
Factor the expressions that are not already factored in \frac{7r^{2}+34r-5}{35r^{2}-12r+1}.
\frac{r-7}{r+5}\times \frac{r+5}{5r-1}
Cancel out 7r-1 in both numerator and denominator.
\frac{\left(r-7\right)\left(r+5\right)}{\left(r+5\right)\left(5r-1\right)}
Multiply \frac{r-7}{r+5} times \frac{r+5}{5r-1} by multiplying numerator times numerator and denominator times denominator.
\frac{r-7}{5r-1}
Cancel out r+5 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
\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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}