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5\left(u^{2}v^{3}+2uv^{2}\right)
Factor out 5.
uv^{2}\left(uv+2\right)
Consider u^{2}v^{3}+2uv^{2}. Factor out uv^{2}.
5uv^{2}\left(uv+2\right)
Rewrite the complete factored expression.