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    Question

    If x = 19 and y = 11, then find the value of

    (y3 - x3 + 3x2y - 3y2x) .
    A 27000 Correct Answer Incorrect Answer
    B 512 Correct Answer Incorrect Answer
    C -512 Correct Answer Incorrect Answer
    D -27000 Correct Answer Incorrect Answer

    Solution

    We know that (a - b) 3 = a3 - b3 - 3a2b + 3b2a

    So, in given case, b = x = 19 and y = a = 11

    So, required value = (11 - 19) 3 = -512

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