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