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