Question

If x/y + y/x = -1 where x≠0 and y≠ 0, then find the value of x power 3 – y power 3

Answer 1

Answer:

0

Step-by-step explanation:

We know that

x^3-y^3= (x-y)(x^2+y^2+xy).........(1)

Given that,

x/y+y/x=-1

=> x^2+y^2/xy=-1

=> x^2+y^2=-xy

Adding xy on both sides, we get

x^2+y^2+xy=0.........(2)

on substituting equation (2) in equation (1),we get

x^3-y^3= (x-y)(0)

x^3-y^3=0