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a\left(1-6b+9b^{2}\right)
Factor out a.
\left(3b-1\right)^{2}
Consider 1-6b+9b^{2}. Use the perfect square formula, p^{2}-2pq+q^{2}=\left(p-q\right)^{2}, where p=3b and q=1.
a\left(3b-1\right)^{2}
Rewrite the complete factored expression.