$$x - 1 : \quad x ^ { 2 } + x + 1$$
$2x+1-\frac{1}{x^{2}}$
$$2x-\frac{1}{x^{2}}+1$$
$$\frac{\left(2x+1\right)x^{2}}{x^{2}}-\frac{1}{x^{2}}$$
$$\frac{\left(2x+1\right)x^{2}-1}{x^{2}}$$
$$\frac{2x^{3}+x^{2}-1}{x^{2}}$$
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$\frac{2x^{3}+x^{2}-1}{x^{2}}$
