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\frac{5\left(a-1\right)\left(a+1\right)\left(a^{2}+1\right)}{3\left(a+1\right)^{2}\left(a^{2}+1\right)}
Factor the expressions that are not already factored.
\frac{5\left(a-1\right)}{3\left(a+1\right)}
Cancel out \left(a+1\right)\left(a^{2}+1\right) in both numerator and denominator.
\frac{5a-5}{3a+3}
Expand the expression.
\frac{5\left(a-1\right)\left(a+1\right)\left(a^{2}+1\right)}{3\left(a+1\right)^{2}\left(a^{2}+1\right)}
Factor the expressions that are not already factored.
\frac{5\left(a-1\right)}{3\left(a+1\right)}
Cancel out \left(a+1\right)\left(a^{2}+1\right) in both numerator and denominator.
\frac{5a-5}{3a+3}
Expand the expression.