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\frac{\left(2x-1\right)\left(2x+1\right)\left(3x+2\right)}{\frac{1}{2}\left(2x+1\right)}
Factor the expressions that are not already factored.
\frac{\left(2x-1\right)\left(3x+2\right)}{\frac{1}{2}}
Cancel out 2x+1 in both numerator and denominator.
\frac{6x^{2}+x-2}{\frac{1}{2}}
Expand the expression.
\left(6x^{2}+x-2\right)\times 2
Divide 6x^{2}+x-2 by \frac{1}{2} by multiplying 6x^{2}+x-2 by the reciprocal of \frac{1}{2}.
12x^{2}+2x-4
Use the distributive property to multiply 6x^{2}+x-2 by 2.
\frac{\left(2x-1\right)\left(2x+1\right)\left(3x+2\right)}{\frac{1}{2}\left(2x+1\right)}
Factor the expressions that are not already factored.
\frac{\left(2x-1\right)\left(3x+2\right)}{\frac{1}{2}}
Cancel out 2x+1 in both numerator and denominator.
\frac{6x^{2}+x-2}{\frac{1}{2}}
Expand the expression.
\left(6x^{2}+x-2\right)\times 2
Divide 6x^{2}+x-2 by \frac{1}{2} by multiplying 6x^{2}+x-2 by the reciprocal of \frac{1}{2}.
12x^{2}+2x-4
Use the distributive property to multiply 6x^{2}+x-2 by 2.