samuel425012 samuel425012

14-09-2016
Mathematics

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what is the product of x^4-1/x+1? show all work

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nobillionaireNobley nobillionaireNobley

18-09-2016

      x^3 - x^2 + x - 1
x + 1 x^4 - 1
      -( x^4 + x^3
   -x^3 - 1
      -(     -x^3 - x^2
   x^2 - 1
      -(    x^2 + x
   -x - 1
      -(    -x - 1

Therefore, (x^4 - 1)/(x + 1) = x^3 - x^2 + x - 1

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