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3b\left(5a+3\right)+5\left(5a+3\right)
Do the grouping 15ab+9b+15+25a=\left(15ab+9b\right)+\left(15+25a\right), and factor out 3b in the first and 5 in the second group.
\left(5a+3\right)\left(3b+5\right)
Factor out common term 5a+3 by using distributive property.
15ab+9b+15+25a
Multiply 1 and 15 to get 15.