Factorize:

x3 – 5x2 – x + 5

We have,



= x2(x – 5) – 1(x – 5)


= (x - 5)[x2 – (1)2]


Now,


Using identity: a2 – b2 = (a – b)(a + b)



Hence,


The given expression can be factorized as:


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