Question

if X upon Y + Y upon x is equal to -1 then show that x cube minus y cube is equal to zero​

Answer 1

Step-by-step explanation:

x/y+y/x==-1

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

x^2+y^2=-xy

x^2+y^2+xy=0

Now,

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

x^3-y^3=(x-y)×0

x^3-y^3=0

proved