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: Binomial Theorem For Quadratic Equation

  1. Jul 24, 2008 #1


    User Avatar

    Find the coefficient of [itex]x^5[/itex] in [itex](1+x+x^2)^4[/itex].

    I have not come across expanding brackets which have [itex]x^2[/itex]. I know how to apply the binomial theorem for [itex](a+b)^n[/itex] or [itex](1+a)^n[/itex] but have not come across [itex](1 + ax + ax^2)^n[/itex]. They are not explained in my textbooks so I was wondering if you could provide hints or redirect me to a useful link. Thanks.
  2. jcsd
  3. Jul 24, 2008 #2


    User Avatar
    Homework Helper

    Just use [itex]b=x+x^2[/itex] and if you need to expand out [itex]b^2,b^3,b^4[/itex] just use the terms that will give you [itex]x^5[/itex]
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook