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BALKAN 1988 Problem 2

  • Paper

Find all polynomials of two variables P(x,y)P(x,y) which satisfy P(a,b)P(c,d)=P(ac+bd,ad+bc),∀a,b,c,d∈R.P(a,b) P(c,d) = P (ac+bd, ad+bc), \forall a,b,c,d \in \mathbb{R}.

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