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\frac{\left(r+1\right)\left(r+2\right)}{r+2}\times \frac{r-9}{r+1}
Factor the expressions that are not already factored in \frac{r^{2}+3r+2}{r+2}.
\left(r+1\right)\times \frac{r-9}{r+1}
Cancel out r+2 in both numerator and denominator.
r-9
Cancel out r+1 and r+1.
\frac{\left(r+1\right)\left(r+2\right)}{r+2}\times \frac{r-9}{r+1}
Factor the expressions that are not already factored in \frac{r^{2}+3r+2}{r+2}.
\left(r+1\right)\times \frac{r-9}{r+1}
Cancel out r+2 in both numerator and denominator.
r-9
Cancel out r+1 and r+1.