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9\left(4x^{2}+12xy+9y^{2}\right)
Factor out 9.
\left(2x+3y\right)^{2}
Consider 4x^{2}+12xy+9y^{2}. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=2x and b=3y.
9\left(2x+3y\right)^{2}
Rewrite the complete factored expression.