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\frac{x+2}{x+4}
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\frac{x+2}{x+4}
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\frac{\left(x^{2}+9x+14\right)\left(x^{2}-7x+10\right)}{\left(x^{2}+2x-8\right)\left(x^{2}+2x-35\right)}
Divide \frac{x^{2}+9x+14}{x^{2}+2x-8} by \frac{x^{2}+2x-35}{x^{2}-7x+10} by multiplying \frac{x^{2}+9x+14}{x^{2}+2x-8} by the reciprocal of \frac{x^{2}+2x-35}{x^{2}-7x+10}.
\frac{\left(x-5\right)\left(x-2\right)\left(x+2\right)\left(x+7\right)}{\left(x-5\right)\left(x-2\right)\left(x+4\right)\left(x+7\right)}
Factor the expressions that are not already factored.
\frac{x+2}{x+4}
Cancel out \left(x-5\right)\left(x-2\right)\left(x+7\right) in both numerator and denominator.
\frac{\left(x^{2}+9x+14\right)\left(x^{2}-7x+10\right)}{\left(x^{2}+2x-8\right)\left(x^{2}+2x-35\right)}
Divide \frac{x^{2}+9x+14}{x^{2}+2x-8} by \frac{x^{2}+2x-35}{x^{2}-7x+10} by multiplying \frac{x^{2}+9x+14}{x^{2}+2x-8} by the reciprocal of \frac{x^{2}+2x-35}{x^{2}-7x+10}.
\frac{\left(x-5\right)\left(x-2\right)\left(x+2\right)\left(x+7\right)}{\left(x-5\right)\left(x-2\right)\left(x+4\right)\left(x+7\right)}
Factor the expressions that are not already factored.
\frac{x+2}{x+4}
Cancel out \left(x-5\right)\left(x-2\right)\left(x+7\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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