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