- #1
Dinheiro
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Homework Statement
Factorate the expression a(1-b²)(1-c²) + b(1-c²)(1-a²) + c(1-a²)(1-b²) - 4abc
Homework Equations
Algebric identities
The Attempt at a Solution
It seems to be an olympic problem, and I can't find the right factors for it.
I would really appreciate the help and, if possible, could you indicate me some articles about factorizations, like this one, for mathematic olympiads.
Thanks