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t\left(t+9\right)-s\left(t+9\right)
Do the grouping t^{2}+9t-st-9s=\left(t^{2}+9t\right)+\left(-st-9s\right), and factor out t in the first and -s in the second group.
\left(t+9\right)\left(t-s\right)
Factor out common term t+9 by using distributive property.