Results 1 to 2 of 2

Math Help - de moivre's theorem complex number

  1. #1
    Member
    Joined
    Apr 2014
    From
    canada
    Posts
    131

    de moivre's theorem complex number

    can anyone explain how ro make the working above the red circle to the working in the red circle? why the author do this?de moivre's theorem complex number-dsc_0015-3.jpg
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,682
    Thanks
    614

    Re: de moivre's theorem complex number

    Hello, delso!

    They used the Distributive Property.

    (\overbrace{z^2+\tfrac{1}{z^2}}^a + \overbrace{2}^b)(\overbrace{z^2-\tfrac{1}{z^2}}^c) \;=\;\overbrace{\left(x^2+\tfrac{1}{z^2}\right)}^a \overbrace{\left(z^2-\tfrac{1}{z^2}\right)}^c + \overbrace{2}^b \overbrace{\left(z^2 - \tfrac{1}{z^2}\right)}^c

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: May 26th 2012, 08:17 AM
  2. Complex number with De Moivre's formula
    Posted in the Calculus Forum
    Replies: 2
    Last Post: December 17th 2010, 05:37 AM
  3. Complex number - De Moivre
    Posted in the Calculus Forum
    Replies: 2
    Last Post: June 2nd 2010, 01:54 PM
  4. Replies: 6
    Last Post: December 2nd 2008, 02:35 PM
  5. Complex number theorem proof
    Posted in the Algebra Forum
    Replies: 1
    Last Post: December 1st 2008, 04:49 AM

Search Tags


/mathhelpforum @mathhelpforum