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3\left(81m^{2}-36mn+4n^{2}\right)
Factor out 3.
\left(9m-2n\right)^{2}
Consider 81m^{2}-36mn+4n^{2}. Use the perfect square formula, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, where a=9m and b=2n.
3\left(9m-2n\right)^{2}
Rewrite the complete factored expression.