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10\left(3u^{5}w^{2}y^{8}+u^{9}w^{7}\right)
Factor out 10.
u^{5}w^{2}\left(3y^{8}+u^{4}w^{5}\right)
Consider 3u^{5}w^{2}y^{8}+u^{9}w^{7}. Factor out u^{5}w^{2}.
10u^{5}w^{2}\left(3y^{8}+u^{4}w^{5}\right)
Rewrite the complete factored expression.