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3u\left(7v+1\right)+8b\left(7v+1\right)
Do the grouping 21uv+8b+3u+56bv=\left(21uv+3u\right)+\left(56bv+8b\right), and factor out 3u in the first and 8b in the second group.
\left(7v+1\right)\left(3u+8b\right)
Factor out common term 7v+1 by using distributive property.