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      Question

      If x = 21, then the value of x5 -

      22x4 + 22x3 - 22x2 + 22x - 1 is
      A 10 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- 22x 4┬а+ 22x 3┬а- 22x 2┬а+ 22x - 1 = x5 - 21x 4┬а- x4 +┬а21 x 3┬а+ x3 -┬а21 x2 - x2 +┬а21 x + x - 1 = x5 -x5 -x4 + x4 +x3-x3-x2+x2+21 -1 [given that x = 21] = 21-1 = 20

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