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2\left(k^{3}-18k^{2}+81k\right)
Factor out 2.
k\left(k^{2}-18k+81\right)
Consider k^{3}-18k^{2}+81k. Factor out k.
\left(k-9\right)^{2}
Consider k^{2}-18k+81. Use the perfect square formula, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, where a=k and b=9.
2k\left(k-9\right)^{2}
Rewrite the complete factored expression.