Question

Factorise. It's answer is (x^4+1) (x^2+1) (x-1) (x+1). But I don't know explanation.​

Answer 1

Answer:

We have to do the pairing and then apply identity step by step.

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Answer 2

Using identity (a+b)(a-b)=a^2-b^2

x^8-1

=>(x^4+1)(x^4-1)

=>(x^4+1)(x^2+1)(x^2-1)

=>(x^4+1)(x^2+1)(x+1)(x-1)