April 5th, 2014, 10:58 AM  #1 
Senior Member Joined: Nov 2013 Posts: 434 Thanks: 8  factor
factor (x+y)^4 + x^4 +y^4 
April 5th, 2014, 11:18 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,204 Thanks: 511 Math Focus: Calculus/ODEs 
I would look for a factorization of the form: $\displaystyle (x+y)^4+x^4+y^4=2\left(x^2+axy+y^2 \right)\left(x^2+bxy+y^2 \right)$ Expand both sides, equate coefficients and solve the resulting system. 

Tags 
factor 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
factor x^5+x+1  Albert.Teng  Algebra  7  June 16th, 2012 04:30 AM 
How to factor 3*(x^4) + 4*(x^3)  3  daigo  Algebra  3  June 14th, 2012 05:38 PM 
Help Factor this?  HellBunny  Algebra  3  February 18th, 2012 10:31 AM 
how can these to be factor?  haebin  Calculus  2  September 14th, 2009 09:25 PM 
Factor x^4 + 1  profetas  Algebra  3  August 25th, 2009 09:20 AM 