Question

Factorise this x^8-y^8​

Answer 1

Answer:

x⁸-y⁸

=>(x⁴)²-(y⁴)²

Using the property [a²-b²=(a+b)(a-b)]

=>(x⁴+y⁴)(x⁴-y⁴)

=>(x⁴+y⁴)[(x²)²-(y²)²]

Using the property [a²-b²=(a+b)(a-b)]

=>(x⁴+y⁴)(x²+y²)(x²-y²)

Using the property [a²-b²=(a+b)(a-b)]

=>(x⁴+y⁴)(x²+y²)(x+y)(x-y)

Hope this answer helps you out.