Question

if x by Y + y by x is equal to -1 where xis not equal to zero, y not equal to zero then find the value of x cube - y cube​

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 + xy + y^2)

x^3 + y^3 = (x - y) × 0

x^3 + y^3 = 0

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