If x/y + y/x = -1, then the value of x 3 - y 3 is ??
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x/y + y/x = –1
(x²+y²)/xy = –1
x²+y² = –xy
x²+y²+xy = 0
x³–y³ = (x–y) (x²+y²+xy) = (x+y) ×0 = 0
(x²+y²)/xy = –1
x²+y² = –xy
x²+y²+xy = 0
x³–y³ = (x–y) (x²+y²+xy) = (x+y) ×0 = 0
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