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T\left(-A+T\right)+B\left(-A+T\right)
Do the grouping T^{2}-AT+BT-AB=\left(T^{2}-AT\right)+\left(BT-AB\right), and factor out T in the first and B in the second group.
\left(-A+T\right)\left(T+B\right)
Factor out common term -A+T by using distributive property.