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