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\frac{9s-36}{s^{2}-8s+16}
Since \frac{9s}{s^{2}-8s+16} and \frac{36}{s^{2}-8s+16} have the same denominator, subtract them by subtracting their numerators.
\frac{9\left(s-4\right)}{\left(s-4\right)^{2}}
Factor the expressions that are not already factored in \frac{9s-36}{s^{2}-8s+16}.
\frac{9}{s-4}
Cancel out s-4 in both numerator and denominator.