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2\left(10xy+2y+5x+1\right)
Factor out 2.
2y\left(5x+1\right)+5x+1
Consider 10xy+2y+5x+1. Do the grouping 10xy+2y+5x+1=\left(10xy+2y\right)+\left(5x+1\right), and factor out 2y in 10xy+2y.
\left(5x+1\right)\left(2y+1\right)
Factor out common term 5x+1 by using distributive property.
2\left(5x+1\right)\left(2y+1\right)
Rewrite the complete factored expression.