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\frac{\left(7r^{2}-53r-24\right)\left(49r+14\right)}{\left(7r+2\right)\left(49r+21\right)}
Divide \frac{7r^{2}-53r-24}{7r+2} by \frac{49r+21}{49r+14} by multiplying \frac{7r^{2}-53r-24}{7r+2} by the reciprocal of \frac{49r+21}{49r+14}.
\frac{7\left(r-8\right)\left(7r+2\right)\left(7r+3\right)}{7\left(7r+2\right)\left(7r+3\right)}
Factor the expressions that are not already factored.
r-8
Cancel out 7\left(7r+2\right)\left(7r+3\right) in both numerator and denominator.
\frac{\left(7r^{2}-53r-24\right)\left(49r+14\right)}{\left(7r+2\right)\left(49r+21\right)}
Divide \frac{7r^{2}-53r-24}{7r+2} by \frac{49r+21}{49r+14} by multiplying \frac{7r^{2}-53r-24}{7r+2} by the reciprocal of \frac{49r+21}{49r+14}.
\frac{7\left(r-8\right)\left(7r+2\right)\left(7r+3\right)}{7\left(7r+2\right)\left(7r+3\right)}
Factor the expressions that are not already factored.
r-8
Cancel out 7\left(7r+2\right)\left(7r+3\right) in both numerator and denominator.
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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
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Limits
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