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    Question

    If x = 19, then the value of x5 -

    20x4 + 20x3 - 20x2 + 20x - 1 is
    A 18 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 11 Correct Answer Incorrect Answer
    D 14 Correct Answer Incorrect Answer

    Solution

    Given expression :┬а x 5┬а- 20x 4┬а+ 20x 3┬а- 20x 2┬а+ 20x - 1 = x5 - 19x 4┬а- x4 +┬а19 x 3┬а+ x3 -┬а19 x2 - x2 +┬а19 x + x - 1 = x5 -x5 -x4 + x4 +x3-x3-x2+x2+21 -1 [given that x = 19] = 19-1 = 18

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