Evaluate
\frac{\left(2x+y\right)^{2}}{100}
Expand
\frac{xy}{25}+\frac{x^{2}}{25}+\frac{y^{2}}{100}
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\frac{1}{25}x^{2}+\frac{1}{25}xy+\frac{1}{100}y^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\frac{1}{5}x+\frac{1}{10}y\right)^{2}.
\frac{1}{25}x^{2}+\frac{1}{25}xy+\frac{1}{100}y^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\frac{1}{5}x+\frac{1}{10}y\right)^{2}.
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