Evaluate
\frac{\left(3m-2n\right)^{2}}{36}
Expand
-\frac{mn}{3}+\frac{m^{2}}{4}+\frac{n^{2}}{9}
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\frac{1}{4}m^{2}-\frac{1}{3}mn+\frac{1}{9}n^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\frac{1}{2}m-\frac{1}{3}n\right)^{2}.
\frac{1}{4}m^{2}-\frac{1}{3}mn+\frac{1}{9}n^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\frac{1}{2}m-\frac{1}{3}n\right)^{2}.
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