Evaluate
\frac{\left(9m-8n\right)^{2}}{144}
Expand
-mn+\frac{4n^{2}}{9}+\frac{9m^{2}}{16}
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\frac{9}{16}m^{2}-mn+\frac{4}{9}n^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\frac{3}{4}m-\frac{2}{3}n\right)^{2}.
\frac{9}{16}m^{2}-mn+\frac{4}{9}n^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\frac{3}{4}m-\frac{2}{3}n\right)^{2}.
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