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6\left(5u^{3}v^{5}x^{7}+3u^{8}v^{9}\right)
Factor out 6.
u^{3}v^{5}\left(5x^{7}+3u^{5}v^{4}\right)
Consider 5u^{3}v^{5}x^{7}+3u^{8}v^{9}. Factor out u^{3}v^{5}.
6u^{3}v^{5}\left(5x^{7}+3u^{5}v^{4}\right)
Rewrite the complete factored expression.