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Prove: If a1 = b1 mod n and a2 = b2 mod n then (1) a1 +...

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Advance Math

Prove:

If a1 = b1 mod n and a2 = b2 mod n then

(1) a1 + a2 = b1 + b2 mod n,

(2) a1 ? a2 = b1 ? b2 mod n, and

(3) a1a2 = b1b2 mod n.

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