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9m^{2}-\frac{12}{5}mn+\frac{4}{25}n^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3m-\frac{2}{5}n\right)^{2}.
9m^{2}-\frac{12}{5}mn+\frac{4}{25}n^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3m-\frac{2}{5}n\right)^{2}.