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