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April 5th, 2014, 10:58 AM   #1
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factor

factor
(x+y)^4 + x^4 +y^4
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April 5th, 2014, 11:18 AM   #2
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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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