If x/y + y/x = -1, x, y unequal to 0, then find the value of x^3 -y^3
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faraz2075:
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x/y + y/x = -1
=>(x^2 + y^2) / xy = -1
=>x^2 + y^2 = -xy
=>x^2 + y^2 + xy = 0
∵ x and y is not equal to 0 , ∴multiply by (x - y)
=>(x - y)(x^2 + y^2 + xy) = 0
=>x^3 - y^3 = 0
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