olymmath

HMMT 2008 S1

  • Team 2

(Distributive law) Prove that (x⊕y)⊙z=x⊙z⊕y⊙z(x \oplus y) \odot z=x \odot z \oplus y \odot z for all x,y,z∈R∪{∞}x, y, z \in \mathbb{R} \cup\{\infty\}.

Dataset text NuminaMath olympiads. Quoted with source.

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