Factorize:

x3 – x2 + ax + x – a – 1

We have,



At first we’ll take common from the expression


= x3 – x2 + ax – a + x – 1


= x2 (x – 1) + a (x – 1) + 1 (x – 1)


= (x – 1) (x2 + a + 1)


Hence,


The given expression can be factorized as:



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