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\frac{2\left(x-1\right)\left(x+1\right)\left(2x^{3}-\frac{5}{2}x^{2}+1\right)}{\left(x-1\right)\left(x+1\right)}
Factor the expressions that are not already factored.
2\left(2x^{3}-\frac{5}{2}x^{2}+1\right)
Cancel out \left(x-1\right)\left(x+1\right) in both numerator and denominator.
4x^{3}-5x^{2}+2
Expand the expression.
\frac{2\left(x-1\right)\left(x+1\right)\left(2x^{3}-\frac{5}{2}x^{2}+1\right)}{\left(x-1\right)\left(x+1\right)}
Factor the expressions that are not already factored.
2\left(2x^{3}-\frac{5}{2}x^{2}+1\right)
Cancel out \left(x-1\right)\left(x+1\right) in both numerator and denominator.
4x^{3}-5x^{2}+2
Expand the expression.