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    Question

    If x/y + y/x = 1 and x + y = 2, then the value of x³ +

    y³ is:
    A 1 Correct Answer Incorrect Answer
    B 3 Correct Answer Incorrect Answer
    D 2 Correct Answer Incorrect Answer

    Solution

    Simplify= x/y + y/x = 1 (x2+y2)/xy =1   x² + y² = xy Use the identity. x³ + y³ = (x+y) (x² - xy + y²): =2(xy-xy) =2×0 x³ + y³=0

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