Q.11 If x/y + y/x = -1 (x, y = 0) find the value of x^3 - y^3
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(x/y) + (y/x) = (-1)
(x²+y²)/xy = (-1)
(x²+y²) = (-xy)
(x²+y²+xy) = 0
Now, we know that
(x³ - y³) = (x-y)(x²+y²+xy) [formula]
(x³ - y³) = (x-y)(0)
(x³ - y³) = 0 [Ans.]
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