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w^{3}\left(w^{2}-14w+49\right)
Factor out w^{3}.
\left(w-7\right)^{2}
Consider w^{2}-14w+49. Use the perfect square formula, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, where a=w and b=7.
w^{3}\left(w-7\right)^{2}
Rewrite the complete factored expression.