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    Question

    Given that x = 80, y = -35 and z = -45, Determine the

    value of [(x³ + y³ + z³)/10³]
    A 350 Correct Answer Incorrect Answer
    B 400 Correct Answer Incorrect Answer
    C 378 Correct Answer Incorrect Answer
    D 500 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;
    As (x + y + z) = (80 – 35 – 45) = 0
    So, x³ + y³ + z³ = 3xyz
    So, (x³ + y³ + z³) = {3 × 80 × (-35) × (-45)} = 378000
    So, required value = {(x³ + y³ + z³)/10³} = (378000/1000) = 378

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