Factorize:
Question:

Factorize:

$x^{3}-5 x^{2}-x+5$

 

Solution:

$x^{3}-5 x^{2}-x+5=x^{2}(x-5)-1(x-5)$

$=(x-5)\left(x^{2}-1\right)$

$=(x-5)\left(x^{2}-1^{2}\right)$

$=(x-5)(x-1)(x+1)$

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