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\frac{1}{9}m^{2}-\frac{1}{3}m+\frac{1}{4}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\frac{1}{3}m-\frac{1}{2}\right)^{2}.
\frac{1}{9}m^{2}-\frac{1}{3}m+\frac{1}{4}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\frac{1}{3}m-\frac{1}{2}\right)^{2}.