Question

factorise completely x^8-y^8

Answer 1

Solution:

Now, x⁸ - y⁸

= (x⁴)² - (y⁴)²

= (x⁴ + y⁴) (x⁴ - y⁴)

= (x⁴ + y⁴) {(x²)² - (y²)²}

= (x⁴ + y⁴) (x² + y²) (x² - y²)

= (x⁴ + y⁴) (x² + y²) (x + y) (x - y) ,

which is the required factorization.

Answer 2

Answer:

$\huge\underline\mathfrak\purple{Solution}$