Evaluate
\frac{\left(x+6y\right)^{2}}{4}
Expand
3xy+\frac{x^{2}}{4}+9y^{2}
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\frac{1}{4}x^{2}+3xy+9y^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\frac{1}{2}x+3y\right)^{2}.
\frac{1}{4}x^{2}+3xy+9y^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\frac{1}{2}x+3y\right)^{2}.
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