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\frac{9a^{2}-12ab+4b^{2}}{9}
Factor out \frac{1}{9}.
\left(3a-2b\right)^{2}
Consider 9a^{2}-12ab+4b^{2}. Use the perfect square formula, p^{2}-2pq+q^{2}=\left(p-q\right)^{2}, where p=3a and q=2b.
\frac{\left(3a-2b\right)^{2}}{9}
Rewrite the complete factored expression.