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\frac{\left(3a-1\right)\left(a+2\right)\left(4a+1\right)}{\left(a+2\right)\left(4a+1\right)^{2}}
Factor the expressions that are not already factored.
\frac{3a-1}{4a+1}
Cancel out \left(a+2\right)\left(4a+1\right) in both numerator and denominator.
\frac{\left(3a-1\right)\left(a+2\right)\left(4a+1\right)}{\left(a+2\right)\left(4a+1\right)^{2}}
Factor the expressions that are not already factored.
\frac{3a-1}{4a+1}
Cancel out \left(a+2\right)\left(4a+1\right) in both numerator and denominator.