Factorization formula

  1. 1. The problem statement, all variables and given/known data

    Is there like a formula with a name easy to remember of which the following is a specific instance:

    x^200 -y^200 = (x-y)(x^199+x^198y+... + y^198*x + y^199)


    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Not that I've ever heard...


    Sorry wouldn't fint onto one line...

    Maybe to can find a pattern to that mess though. If not, well, it took my calculator about 3 second to find the answer, might want to use one the next time you need to factor that...
    Last edited: Jul 28, 2007
  4. which calculator do you have? i been thinking about upgrading to a TI-89 ...
  5. Ti-89 Titanium
  6. HallsofIvy

    HallsofIvy 41,055
    Staff Emeritus
    Science Advisor

    Do you mean
    [tex]x^n- y^n= (x-y)(x^{n-1}+ x^(n-2)y+ /cdot/cdot/cdot+ xy^{n-2}+ y^{n-1}[/tex]?
    I've never worried about it having a name!
  7. Yes. I just forget identities so easily when I have to remember them by their statement not some label. However, you're right, this is a pretty simple one that is easily verifiable and probably doesn't warrant a name!
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