Question

if X by y +y by X =-1 then find the value of x3-y3

Answer 1

#AlexaRousey here!!

Since x/y + y/x = - 1

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

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

Since 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)

= 0

Thanks!!

Answer 2

hope it'll help you :)