Question

Factorise :-
i) x^8-1​

Answer 1

hey mate here's ur answer

x^8 - 1

= (x⁴)² - 1²

using a² - b² = (a-b)(a+b)

= (x⁴ - 1)(x⁴ + 1)

= [(x²)² - 1²](x⁴ + 1)

again, using a² - b² = (a-b)(a+b)

= [(x² - 1)(x² + 1)](x⁴ + 1)

= ||ly [(x -1)(x+1)(x²+1)](x⁴ + 1)