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c\left(c^{2}-16c+64\right)
Factor out c.
\left(c-8\right)^{2}
Consider c^{2}-16c+64. Use the perfect square formula, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, where a=c and b=8.
c\left(c-8\right)^{2}
Rewrite the complete factored expression.