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3\left(9m^{2}-16n^{6}\right)
Factor out 3.
\left(3m-4n^{3}\right)\left(3m+4n^{3}\right)
Consider 9m^{2}-16n^{6}. Rewrite 9m^{2}-16n^{6} as \left(3m\right)^{2}-\left(4n^{3}\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
3\left(3m-4n^{3}\right)\left(3m+4n^{3}\right)
Rewrite the complete factored expression.