Answer
$\dfrac{2m(m+2)}{m-2}$
Work Step by Step
$\dfrac{2m^3-2m^2-12m}{m^2-5m+6} = \dfrac{2m(m^2-m-6)}{m^2-5m+6} = \dfrac{2m(m-3)(m+2)}{(m-3)(m-2)} = \dfrac{2m(m+2)}{m-2}$
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