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    Question

    If x = 35, then the value of x5 -

    36x4 + 36x3 - 36x2 + 36x - 1 is
    A 50 Correct Answer Incorrect Answer
    B 49 Correct Answer Incorrect Answer
    C 34 Correct Answer Incorrect Answer
    D 48 Correct Answer Incorrect Answer

    Solution

    Given expression :┬а x 5┬а- 36x 4┬а+ 36x 3┬а- 36x 2┬а+ 36x - 1 = x5 - 35x 4┬а- x4 +┬а35 x 3┬а+ x3 -┬а35 x2 - x2 +┬а35 x + x - 1 = x5 -x5 -x4 + x4 +x3-x3-x2+x2+35 -1 [given that x =┬а35 ] = 35-1 = 34

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