1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Using pascal's triangle and standard form

  1. Sep 3, 2010 #1
    1. The problem statement, all variables and given/known data

    If z = 4 + i and w = -2 +2i, determine (z+w)5 using Pascal’s Triangle and standard form.

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Sep 3, 2010 #2


    User Avatar
    Science Advisor

    ?? (z+w)5= 5z+ 5w which has nothing to do with Pascal's triangle. Did you mean (z+ w)^i?

    The first thing I would do is write z+ w= 4+i- 2+ 2i= 2- i.

    so (z+ w)^5= (2- i)^5. Now, Pascal's triangle gives the coefficients for binomials of the form (a+ b)^n. In particular, the 5 th row of Pascal's triangle gives the coefficients for (a+ b)^5. Write that out, and remember that i^2= -1.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook