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2x\left(4y+7\right)+3\left(4y+7\right)
Do the grouping 8xy+14x+12y+21=\left(8xy+14x\right)+\left(12y+21\right), and factor out 2x in the first and 3 in the second group.
\left(4y+7\right)\left(2x+3\right)
Factor out common term 4y+7 by using distributive property.