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\frac{25x^{2}+60xy+36y^{2}}{100}
Factor out \frac{1}{100}.
\left(5x+6y\right)^{2}
Consider 25x^{2}+60xy+36y^{2}. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=5x and b=6y.
\frac{\left(5x+6y\right)^{2}}{100}
Rewrite the complete factored expression.