Question

factorize x⁸-1 explain​

Answer 1

Step-by-step explanation:

x⁸-1

= (x⁴)²-(1)²

= (x⁴-1)(x⁴+1)

= {(x²)²-(1)²}(x⁴+1)

= (x²-1)(x²+1) (x⁴+1)

= (x²-1²)(x²+1)(x⁴+1)

= (x-1)(x+1)(x²+1)(x⁴+1)