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