Register to reply 
Factoring Helpby JNeutron2186
Tags: factoring 
Share this thread: 
#1
Feb2413, 05:56 PM

P: 7

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
Feb2513, 02:15 PM

Sci Advisor
HW Helper
P: 9,499

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.



#3
Feb2713, 04:34 PM

P: 7

My bad for not stating before. Let's assume the gcd(x,y,z) =1 and gcd(x,y)>1



Register to reply 
Related Discussions  
Factoring question  generalized factoring in integers  Linear & Abstract Algebra  0  
Factor the matrix into the form QR where Q is orthogonal  Calculus & Beyond Homework  5  
Help with factor large numbers  Precalculus Mathematics Homework  6  
How to calculate the following limit  I'm stuck!  Precalculus Mathematics Homework  3  
How do i factor this36(2xy)^225(u2y)^2  General Math  6 