Evaluate
\frac{\left(8a+15b\right)^{2}}{144}
Expand
\frac{5ab}{3}+\frac{4a^{2}}{9}+\frac{25b^{2}}{16}
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\frac{4}{9}a^{2}+\frac{5}{3}ab+\frac{25}{16}b^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(\frac{2}{3}a+\frac{5}{4}b\right)^{2}.
\frac{4}{9}a^{2}+\frac{5}{3}ab+\frac{25}{16}b^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(\frac{2}{3}a+\frac{5}{4}b\right)^{2}.
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