MathematicsFactor of x3 – 1 is.

Factor of x3 – 1 is.

  1. A
          ( x – 1 )( x2 + x - 1)
  2. B
          ( x – 1 )( x2 - x - 1)
  3. C
          ( x + 1 )( x2 + x + 1)
  4. D
          ( x – 1 )( x2 + x + 1)  

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    Solution:

    By observing the question we can see it is in the form of the formula.
    a3 - b3 = (a - b) (a2 + ab + b2)
    on evaluating the given equation we get
    x3 – 13 = (x - 1) (x2 + x.1 + 12)
    x3 – 13 =( x – 1 )( x2 + x + 1)
        
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