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\frac{\left(4x^{2}+12x\right)\left(5x-5\right)}{\left(x^{2}+2x-3\right)\times 4x}
Divide \frac{4x^{2}+12x}{x^{2}+2x-3} by \frac{4x}{5x-5} by multiplying \frac{4x^{2}+12x}{x^{2}+2x-3} by the reciprocal of \frac{4x}{5x-5}.
\frac{4\times 5x\left(x-1\right)\left(x+3\right)}{4x\left(x-1\right)\left(x+3\right)}
Factor the expressions that are not already factored.
5
Cancel out 4x\left(x-1\right)\left(x+3\right) in both numerator and denominator.
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Limits
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