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ab\left(9a^{2}+b^{2}-6ab\right)
Factor out ab.
\left(3a-b\right)^{2}
Consider 9a^{2}+b^{2}-6ab. Use the perfect square formula, p^{2}-2pq+q^{2}=\left(p-q\right)^{2}, where p=3a and q=b.
ab\left(3a-b\right)^{2}
Rewrite the complete factored expression.