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2\left(w^{6}+12w^{5}+36w^{4}\right)
Factor out 2.
w^{4}\left(w^{2}+12w+36\right)
Consider w^{6}+12w^{5}+36w^{4}. Factor out w^{4}.
\left(w+6\right)^{2}
Consider w^{2}+12w+36. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=w and b=6.
2w^{4}\left(w+6\right)^{2}
Rewrite the complete factored expression.