Results 1 to 3 of 3

Thread: Binomial expansion

  1. Jul 31st 2009, 03:30 PM #1
    gtaplayr
    gtaplayr is offline
    Newbie
    Joined
    Jul 2009
    Posts
    15

    Binomial expansion

    Can anyone prove the binomial expansion:

    (x+y)^n = \sum \left(\begin{array}{c}n\\r\end{array}\right) x^r.y^{n-r}
    Last edited by gtaplayr; Jul 31st 2009 at 03:46 PM.
    Follow Math Help Forum on Facebook and Google+
  2. Jul 31st 2009, 03:52 PM #2
    Jhevon
    Jhevon is offline
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by gtaplayr View Post
    Can anyone prove the binomial expansion:

    (x+y)^n = \sum \left(\begin{array}{c}n\\r\end{array}\right) x^r.y^{n-r}
    this is certainly something that can be found all over the internet. see here
    Follow Math Help Forum on Facebook and Google+
  3. Jul 31st 2009, 11:01 PM #3
    CaptainBlack
    CaptainBlack is offline
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    5
    Quote Originally Posted by gtaplayr View Post
    Can anyone prove the binomial expansion:

    (x+y)^n = \sum \left(\begin{array}{c}n\\r\end{array}\right) x^r.y^{n-r}
    You only need to prove:

    (1+x)^n=\sum_{r=0}^n {n \choose r} x^r

    and this can be done reasonably easily by induction.

    CB
    Follow Math Help Forum on Facebook and Google+
« number of arrangements of letters .... | Standard logical equivalences »

Similar Math Help Forum Discussions

  1. Binomial expansion
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: Mar 6th 2011, 11:20 PM
  2. Binomial Expansion
    Posted in the Pre-Calculus Forum
    Replies: 11
    Last Post: Jul 10th 2010, 10:00 PM
  3. binomial expansion help?
    Posted in the Algebra Forum
    Replies: 2
    Last Post: Nov 15th 2009, 09:21 AM
  4. Binomial expansion
    Posted in the Algebra Forum
    Replies: 4
    Last Post: Aug 12th 2009, 06:24 AM
  5. Proof by use of Maclaurin's Expansion or Binomial Expansion
    Posted in the Calculus Forum
    Replies: 6
    Last Post: May 1st 2009, 11:37 AM

Search Tags


/mathhelpforum @mathhelpforum