Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Factoring Help

  1. Feb 24, 2013 #1
    Hey everyone first time poster here, I need help with some factoring of cubes. I know this might tie closely to Diophantine equations but here goes.

    Under what condition is the expression x^3+y^3+z^3 factorable? Where x,y,z are positive whole numbers.
     
  2. jcsd
  3. Feb 25, 2013 #2

    mathwonk

    User Avatar
    Science Advisor
    Homework Helper

    well it seems to factor if x=1, y=2, z=3, and if x=y=z ≥ 2, and more generally if gcd(x,y,z) > 1.
     
  4. Feb 27, 2013 #3
    My bad for not stating before. Let's assume the gcd(x,y,z) =1 and gcd(x,y)>1
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Factoring Help
Loading...