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4\left(4u^{6}w^{7}+7u^{3}w^{2}x^{5}\right)
Factor out 4.
u^{3}w^{2}\left(4u^{3}w^{5}+7x^{5}\right)
Consider 4u^{6}w^{7}+7u^{3}w^{2}x^{5}. Factor out u^{3}w^{2}.
4u^{3}w^{2}\left(4u^{3}w^{5}+7x^{5}\right)
Rewrite the complete factored expression.