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3\left(10u^{3}v^{4}+9uv^{2}+9uv\right)
Factor out 3.
uv\left(10u^{2}v^{3}+9v+9\right)
Consider 10u^{3}v^{4}+9uv^{2}+9uv. Factor out uv.
3uv\left(10u^{2}v^{3}+9v+9\right)
Rewrite the complete factored expression.