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\frac{4x^{2}-36xy+81y^{2}}{9}
Factor out \frac{1}{9}.
\left(2x-9y\right)^{2}
Consider 4x^{2}-36xy+81y^{2}. Use the perfect square formula, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, where a=2x and b=9y.
\frac{\left(2x-9y\right)^{2}}{9}
Rewrite the complete factored expression.