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2t\left(2s+3\right)-5\left(2s+3\right)
Do the grouping 4st+6t-10s-15=\left(4st+6t\right)+\left(-10s-15\right), and factor out 2t in the first and -5 in the second group.
\left(2s+3\right)\left(2t-5\right)
Factor out common term 2s+3 by using distributive property.