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\frac{\left(12x^{2}-17x-5\right)\left(4x^{2}-9\right)}{\left(6x^{2}-x-15\right)\left(8x^{2}-10x-3\right)}
Divide \frac{12x^{2}-17x-5}{6x^{2}-x-15} by \frac{8x^{2}-10x-3}{4x^{2}-9} by multiplying \frac{12x^{2}-17x-5}{6x^{2}-x-15} by the reciprocal of \frac{8x^{2}-10x-3}{4x^{2}-9}.
\frac{\left(2x-3\right)\left(3x-5\right)\left(2x+3\right)\left(4x+1\right)}{\left(2x-3\right)\left(3x-5\right)\left(2x+3\right)\left(4x+1\right)}
Factor the expressions that are not already factored.
1
Cancel out \left(2x-3\right)\left(3x-5\right)\left(2x+3\right)\left(4x+1\right) in both numerator and denominator.
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