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