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