Play with functions

Algebra Level 5

Let f:RRf: \mathbb R \to \mathbb R be a function satisfying f(xf(y))=f(f(y))+xf(y)+f(x)1f(x-f(y)) = f(f(y))+xf(y)+f(x)-1 where xx and yy are real numbers.

Find the value of f(1)f(2)f(1) - f(2).

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