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\frac{\left(x^{3}+4x^{2}-21x\right)\left(4x+12\right)}{\left(x^{3}-9x\right)\left(2x+14\right)}
Divide \frac{x^{3}+4x^{2}-21x}{x^{3}-9x} by \frac{2x+14}{4x+12} by multiplying \frac{x^{3}+4x^{2}-21x}{x^{3}-9x} by the reciprocal of \frac{2x+14}{4x+12}.
\frac{4x\left(x-3\right)\left(x+3\right)\left(x+7\right)}{2x\left(x-3\right)\left(x+3\right)\left(x+7\right)}
Factor the expressions that are not already factored.
2
Cancel out 2x\left(x-3\right)\left(x+3\right)\left(x+7\right) in both numerator and denominator.
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Simultaneous equation
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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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