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\frac{-3m-2}{7}
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\frac{-3m-2}{7}
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\frac{\left(2m^{2}+9m-5\right)\left(4-9m^{2}\right)}{\left(3m^{2}+13m-10\right)\left(14m-7\right)}
Divide \frac{2m^{2}+9m-5}{3m^{2}+13m-10} by \frac{14m-7}{4-9m^{2}} by multiplying \frac{2m^{2}+9m-5}{3m^{2}+13m-10} by the reciprocal of \frac{14m-7}{4-9m^{2}}.
\frac{\left(-3m-2\right)\left(2m-1\right)\left(3m-2\right)\left(m+5\right)}{7\left(2m-1\right)\left(3m-2\right)\left(m+5\right)}
Factor the expressions that are not already factored.
\frac{-3m-2}{7}
Cancel out \left(2m-1\right)\left(3m-2\right)\left(m+5\right) in both numerator and denominator.
\frac{\left(2m^{2}+9m-5\right)\left(4-9m^{2}\right)}{\left(3m^{2}+13m-10\right)\left(14m-7\right)}
Divide \frac{2m^{2}+9m-5}{3m^{2}+13m-10} by \frac{14m-7}{4-9m^{2}} by multiplying \frac{2m^{2}+9m-5}{3m^{2}+13m-10} by the reciprocal of \frac{14m-7}{4-9m^{2}}.
\frac{\left(-3m-2\right)\left(2m-1\right)\left(3m-2\right)\left(m+5\right)}{7\left(2m-1\right)\left(3m-2\right)\left(m+5\right)}
Factor the expressions that are not already factored.
\frac{-3m-2}{7}
Cancel out \left(2m-1\right)\left(3m-2\right)\left(m+5\right) in both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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Simultaneous equation
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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}