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a\left(4x+3y\right)+b\left(4x+3y\right)
Do the grouping 4ax+3ay+4bx+3by=\left(4ax+3ay\right)+\left(4bx+3by\right), and factor out a in the first and b in the second group.
\left(4x+3y\right)\left(a+b\right)
Factor out common term 4x+3y by using distributive property.