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\frac{\left(15x-10\right)\left(x^{2}-12x+32\right)}{\left(x-8\right)\left(3x-2\right)}
Divide \frac{15x-10}{x-8} by \frac{3x-2}{x^{2}-12x+32} by multiplying \frac{15x-10}{x-8} by the reciprocal of \frac{3x-2}{x^{2}-12x+32}.
\frac{5\left(x-8\right)\left(x-4\right)\left(3x-2\right)}{\left(x-8\right)\left(3x-2\right)}
Factor the expressions that are not already factored.
5\left(x-4\right)
Cancel out \left(x-8\right)\left(3x-2\right) in both numerator and denominator.
5x-20
Expand the expression.
\frac{\left(15x-10\right)\left(x^{2}-12x+32\right)}{\left(x-8\right)\left(3x-2\right)}
Divide \frac{15x-10}{x-8} by \frac{3x-2}{x^{2}-12x+32} by multiplying \frac{15x-10}{x-8} by the reciprocal of \frac{3x-2}{x^{2}-12x+32}.
\frac{5\left(x-8\right)\left(x-4\right)\left(3x-2\right)}{\left(x-8\right)\left(3x-2\right)}
Factor the expressions that are not already factored.
5\left(x-4\right)
Cancel out \left(x-8\right)\left(3x-2\right) in both numerator and denominator.
5x-20
Expand the expression.