Question

If x/y +y/z=-1,x not equal to y,y not equal to 0.Then the value of x^3 -y^3 is

Answer 1

x/y+y/x=-1
(x^2+y^2)/xy=-1
x^2+y^2=-xy

x^3-y^3=(x-y)(x^2+y^2+xy)
x^3-y^3=(x-y)(-xy+xy)
x^3-y^3=(x-y)(0)
x^3-y^3=0