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