Results 1 to 2 of 2

Math Help - Binomial Theorem

  1. #1
    Junior Member
    Joined
    Jan 2006
    Posts
    29

    Binomial Theorem

    14 a and b i cant get... please help
    Attached Thumbnails Attached Thumbnails Binomial Theorem-ab.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Quote Originally Posted by Arbitur
    14 a and b i cant get... please help
    (x+y)^{10}
    by binomial theorem
    <br />
\left(\begin{array}{c}10\\0\end{array}\right)x^{10  }y^0<br />
+<br />
\left(\begin{array}{c}10\\1\end{array}\right)x^9y<br />
+<br />
\left(\begin{array}{c}10\\2\end{array}\right)x^8y^  2<br />
+
    <br />
+<br />
\left(\begin{array}{c}10\\3\end{array}\right)x^7y^  3<br />
+<br />
\left(\begin{array}{c}10\\4\end{array}\right)x^6y^  4<br />
+<br />
\left(\begin{array}{c}10\\5\end{array}\right)x^5y^  5<br />
    <br />
+<br />
\left(\begin{array}{c}10\\6\end{array}\right)x^4y^  6<br />
+<br />
\left(\begin{array}{c}10\\7\end{array}\right)x^3y^  7<br />
+<br />
\left(\begin{array}{c}10\\8\end{array}\right)x^2y^  8<br />
<br />
+<br />
\left(\begin{array}{c}10\\9\end{array}\right)xy^9<br />
+<br />
\left(\begin{array}{c}10\\10\end{array}\right)y^{1  0}<br />
    ---------
    When the combinatorics are evaluated we have,
    x^{10}+10x^9y+45x^8y^2+120x^7y^3+210x^6y^4+ 252x^5y^5+210x^4y^6+120x^3y^7+45x^8y^2+10x^9y+y^{1  0}
    Last edited by ThePerfectHacker; March 27th 2006 at 02:53 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. binomial theorem
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: February 20th 2010, 02:12 PM
  2. Binomial Theorem or Binomial Coefficient
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: October 2nd 2009, 01:06 PM
  3. Binomial Theorem?
    Posted in the Algebra Forum
    Replies: 4
    Last Post: April 24th 2009, 08:52 AM
  4. Binomial Theorem
    Posted in the Algebra Forum
    Replies: 3
    Last Post: January 5th 2009, 02:31 AM
  5. Binomial theorem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: November 3rd 2008, 12:44 PM

Search Tags


/mathhelpforum @mathhelpforum