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\frac{\left(6mk-9k\right)\left(4m^{2}+2mk\right)}{\left(2m+k\right)\left(2m-3\right)}
Multiply \frac{6mk-9k}{2m+k} times \frac{4m^{2}+2mk}{2m-3} by multiplying numerator times numerator and denominator times denominator.
\frac{2\times 3km\left(2m-3\right)\left(2m+k\right)}{\left(2m-3\right)\left(2m+k\right)}
Factor the expressions that are not already factored.
2\times 3km
Cancel out \left(2m-3\right)\left(2m+k\right) in both numerator and denominator.
6km
Expand the expression.
\frac{\left(6mk-9k\right)\left(4m^{2}+2mk\right)}{\left(2m+k\right)\left(2m-3\right)}
Multiply \frac{6mk-9k}{2m+k} times \frac{4m^{2}+2mk}{2m-3} by multiplying numerator times numerator and denominator times denominator.
\frac{2\times 3km\left(2m-3\right)\left(2m+k\right)}{\left(2m-3\right)\left(2m+k\right)}
Factor the expressions that are not already factored.
2\times 3km
Cancel out \left(2m-3\right)\left(2m+k\right) in both numerator and denominator.
6km
Expand the expression.