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\frac{2x-7}{x-9}
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\frac{2x-7}{x-9}
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\frac{\left(x^{2}-3x-10\right)\left(2x^{2}-5x-7\right)}{\left(x^{2}-4x-5\right)\left(x^{2}-7x-18\right)}
Divide \frac{x^{2}-3x-10}{x^{2}-4x-5} by \frac{x^{2}-7x-18}{2x^{2}-5x-7} by multiplying \frac{x^{2}-3x-10}{x^{2}-4x-5} by the reciprocal of \frac{x^{2}-7x-18}{2x^{2}-5x-7}.
\frac{\left(x-5\right)\left(2x-7\right)\left(x+1\right)\left(x+2\right)}{\left(x-9\right)\left(x-5\right)\left(x+1\right)\left(x+2\right)}
Factor the expressions that are not already factored.
\frac{2x-7}{x-9}
Cancel out \left(x-5\right)\left(x+1\right)\left(x+2\right) in both numerator and denominator.
\frac{\left(x^{2}-3x-10\right)\left(2x^{2}-5x-7\right)}{\left(x^{2}-4x-5\right)\left(x^{2}-7x-18\right)}
Divide \frac{x^{2}-3x-10}{x^{2}-4x-5} by \frac{x^{2}-7x-18}{2x^{2}-5x-7} by multiplying \frac{x^{2}-3x-10}{x^{2}-4x-5} by the reciprocal of \frac{x^{2}-7x-18}{2x^{2}-5x-7}.
\frac{\left(x-5\right)\left(2x-7\right)\left(x+1\right)\left(x+2\right)}{\left(x-9\right)\left(x-5\right)\left(x+1\right)\left(x+2\right)}
Factor the expressions that are not already factored.
\frac{2x-7}{x-9}
Cancel out \left(x-5\right)\left(x+1\right)\left(x+2\right) in both numerator and denominator.
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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