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6\left(2uv^{3}w^{2}-3u^{5}v^{8}\right)
Factor out 6.
uv^{3}\left(2w^{2}-3u^{4}v^{5}\right)
Consider 2uv^{3}w^{2}-3u^{5}v^{8}. Factor out uv^{3}.
6uv^{3}\left(2w^{2}-3u^{4}v^{5}\right)
Rewrite the complete factored expression.