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: