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