Question

x⁸ - 1 factorize it by the formula. x² - y²​

Answer 1

x⁸ - 1

= (x⁴)² - (1)²

= (x⁴+1) (x⁴-1)

= (x⁴+1) {(x²)² - (1)²}

= (x⁴+1) (x²+1) (x²-1)

= (x⁴+1) (x²+1) {(x)²-(1)²}

= (x⁴+1) (x²+1) (x+1) (x-1)