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: 12,155 Thanks: 466 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. 

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