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3t\left(5a+b\right)+s\left(5a+b\right)
Do the grouping 15at+3bt+5as+bs=\left(15at+3bt\right)+\left(5as+bs\right), and factor out 3t in the first and s in the second group.
\left(5a+b\right)\left(3t+s\right)
Factor out common term 5a+b by using distributive property.