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a^{3}\left(a^{2}-8a+16\right)
Factor out a^{3}.
\left(a-4\right)^{2}
Consider a^{2}-8a+16. Use the perfect square formula, p^{2}-2pq+q^{2}=\left(p-q\right)^{2}, where p=a and q=4.
a^{3}\left(a-4\right)^{2}
Rewrite the complete factored expression.