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a\left(5x+2y\right)+b\left(5x+2y\right)
Do the grouping 5ax+2ay+5bx+2by=\left(5ax+2ay\right)+\left(5bx+2by\right), and factor out a in the first and b in the second group.
\left(5x+2y\right)\left(a+b\right)
Factor out common term 5x+2y by using distributive property.