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-u\left(v+8\right)+2v\left(v+8\right)
Do the grouping 2v^{2}-8u-vu+16v=\left(-vu-8u\right)+\left(2v^{2}+16v\right), and factor out -u in the first and 2v in the second group.
\left(v+8\right)\left(-u+2v\right)
Factor out common term v+8 by using distributive property.