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  • Question
  • If x = 1 + ? 2, then what is the value of x 4 - 4x 3 + 4x 2?


  • Options
  • A. -1
  • B. 0
  • C. 1
  • D. 2

  • Correct Answer


  • Explanation

    x = 1 + ?2
    ? x4 - 4x3 + 4x2 = x2(x2 - 4x + 4)
    = x2(x - 2)2
    = (1 + ?2)2(1 + ?2 - 2)2
    =(?2 + 1)2 (?2 - 1)2
    =[(?2)2 - (1)2]2
    =(2 - 1)2 =1

  • Tags: Bank Exams

    Elementary Algebra problems


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    • Options
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