Factorize:
$x^{3}-5 x^{2}-x+5$
$x^{3}-5 x^{2}-x+5=x^{2}(x-5)-1(x-5)$
$=(x-5)\left(x^{2}-1\right)$
$=(x-5)\left(x^{2}-1^{2}\right)$
$=(x-5)(x-1)(x+1)$
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