$$48m^{5}n-3m^{3}n^{3}+27mn^{5}$$
$3mn\left(16m^{4}-m^{2}n^{2}+9n^{4}\right)$
$$3\left(16m^{5}n-m^{3}n^{3}+9mn^{5}\right)$$
$$mn\left(16m^{4}-m^{2}n^{2}+9n^{4}\right)$$
$$3mn\left(16m^{4}-m^{2}n^{2}+9n^{4}\right)$$
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$3mn\left(16m^{4}+9n^{4}-\left(mn\right)^{2}\right)$