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w^{2}\left(w^{2}-49\right)
Factor out w^{2}.
\left(w-7\right)\left(w+7\right)
Consider w^{2}-49. Rewrite w^{2}-49 as w^{2}-7^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
w^{2}\left(w-7\right)\left(w+7\right)
Rewrite the complete factored expression.