$$2x^{3}-x^{2}-2x+1\div(2x-1)$$
$\frac{\left(\left(x-1\right)\left(2x+1\right)\right)^{2}}{2x-1}$
$$\frac{\left(2x^{3}-x^{2}-2x\right)\left(2x-1\right)}{2x-1}+\frac{1}{2x-1}$$
$$\frac{\left(2x^{3}-x^{2}-2x\right)\left(2x-1\right)+1}{2x-1}$$
$$\frac{4x^{4}-2x^{3}-2x^{3}+x^{2}-4x^{2}+2x+1}{2x-1}$$
$$\frac{4x^{4}-4x^{3}-3x^{2}+2x+1}{2x-1}$$
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$\frac{2\left(x-1\right)\left(2x+1\right)\left(6x^{2}-5x+2\right)}{\left(2x-1\right)^{2}}$