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