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\frac{9x^{2}+18x+9}{3\left(x+1\right)^{2}}
Cancel out x+1 in both numerator and denominator.
\frac{9\left(x+1\right)^{2}}{3\left(x+1\right)^{2}}
Factor the expressions that are not already factored.
3
Cancel out 3\left(x+1\right)^{2} in both numerator and denominator.