Results 1 to 2 of 2

Math Help - binomial theorem

  1. #1
    Member Mr Rayon's Avatar
    Joined
    Sep 2007
    Posts
    137

    binomial theorem

    Find the coefficient of y^4 in the expansion of (y + 3)^3(2 - y)^5.



    My class has just started on the binomial theorem and I'm stuck on this one. Would anyone be able to provide complete working out? Please show each step as simple as possible so that I can understand. Thank you.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Apr 2008
    Posts
    1,092
    I can tell you a shortcut:

    There are two products.

    One is (1) (y + 3)^3 and the other is (2) (2 - y)^5.

    The coefficient of y^4 in the combined product will be obtained by adding the following coefficients:

    1. The coefficient of y^3 in (1) multiplied by the coefficient of y in (2).

    2. The coefficient of y^2 in (1) multiplied by the coefficient of y^2 in (2).

    3. The coefficient of y in (1) multiplied by the coefficient of y^3 in (2).

    4. The constant term of (1) multiplied by the coefficient of y^4 in (2).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Binomial Theorem or Binomial Coefficient
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: October 2nd 2009, 02:06 PM
  2. Binomial theorem
    Posted in the Discrete Math Forum
    Replies: 4
    Last Post: January 22nd 2009, 07:06 AM
  3. Binomial Theorem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: May 27th 2008, 02:32 PM
  4. Binomial Theorem
    Posted in the Algebra Forum
    Replies: 4
    Last Post: November 15th 2007, 04:04 AM
  5. Binomial Theorem
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: May 14th 2007, 08:54 PM

Search Tags


/mathhelpforum @mathhelpforum