Factor
\frac{\left(x+2y\right)^{2}}{4}
Evaluate
\frac{\left(x+2y\right)^{2}}{4}
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\frac{x^{2}+4xy+4y^{2}}{4}
Factor out \frac{1}{4}.
\left(x+2y\right)^{2}
Consider x^{2}+4xy+4y^{2}. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=x and b=2y.
\frac{\left(x+2y\right)^{2}}{4}
Rewrite the complete factored expression.
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