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