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    Question

    If x = 99, then the value of x5 -

    100x4 + 100x3 - 100x2 + 100x - 1 is
    A 50 Correct Answer Incorrect Answer
    B 100 Correct Answer Incorrect Answer
    C 99 Correct Answer Incorrect Answer
    D 98 Correct Answer Incorrect Answer

    Solution

    Given expression :┬а x 5┬а-┬а100 x 4┬а+┬а100 x 3┬а-┬а100 x 2┬а+┬а100 x - 1 = x5 - 99x 4┬а- x4 +┬а99 x 3┬а+ x3 -┬а99 x2 - x2 +┬а99 x + x - 1 = x5 -x5 -x4 + x4 +x3-x3-x2+x2+99 -1 [given that x =┬а99 ] = 99-1 = 98

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