Answer
(s-3)(s-2)
Work Step by Step
Expression : $s^{2}-5s+6 = s^{2}-3x-2x+6$ (split middle term)
$ s^{2}-3x-2x+6 = s(s-3) -2(s-3) $ (common factor = s-3)
=(s-3)(s-2)
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