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