Question: Prove or disprove: For a, b, c E Z not all zero, god(a + b, c) = god(a, c) + god(b, c)

Prove or disprove: For a, b, c E Z not all zero,
Prove or disprove: For a, b, c E Z not all zero, god(a + b, c) = god(a, c) + god(b, c)

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