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\frac{\left(14x+7\right)\left(8x-12\right)}{\left(4x-6\right)\left(42x+21\right)}
Multiply \frac{14x+7}{4x-6} times \frac{8x-12}{42x+21} by multiplying numerator times numerator and denominator times denominator.
\frac{4\times 7\left(2x-3\right)\left(2x+1\right)}{2\times 21\left(2x-3\right)\left(2x+1\right)}
Factor the expressions that are not already factored.
\frac{2}{3}
Cancel out 2\times 7\left(2x-3\right)\left(2x+1\right) in both numerator and denominator.