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Newton binom question

  1. Nov 11, 2008 #1
    1. The problem statement, all variables and given/known data

    http://img82.imageshack.us/img82/8125/78492134fy0.th.jpg [Broken]http://g.imageshack.us/thpix.php [Broken]

    I need to prove that the left part is equal to the right. I'm not sure how to approach the question.
    I know that (n over k)=n! : k!(n-k)! but how do I sum all the number from k=0 to k=n and show that that equals to 2^n ?
     
    Last edited by a moderator: May 3, 2017
  2. jcsd
  3. Nov 11, 2008 #2
    use the binomial theorem and let x=y=1

    marlon
     
    Last edited by a moderator: May 3, 2017
  4. Nov 11, 2008 #3
    hi marlon
    what do you mean by x=y=1?
    what is my x and y? the binomial theorem has r and y
     
  5. Nov 11, 2008 #4

    HallsofIvy

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    What IS the binomial theorem?
     
  6. Nov 12, 2008 #5

    HallsofIvy

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    We were kind of hoping that Abukadu would look it up himself! And, no, y is NOT equal to 0. If it were you would just have xn= xn
     
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