Evaluate
\frac{\left(15a+8b\right)^{2}}{400}
Expand
\frac{3ab}{5}+\frac{4b^{2}}{25}+\frac{9a^{2}}{16}
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\frac{9}{16}a^{2}+\frac{3}{5}ab+\frac{4}{25}b^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(\frac{3}{4}a+\frac{2}{5}b\right)^{2}.
\frac{9}{16}a^{2}+\frac{3}{5}ab+\frac{4}{25}b^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(\frac{3}{4}a+\frac{2}{5}b\right)^{2}.
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