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Arte-miy333 [17]
3 years ago
7

Prove that for a,b,c E ℤ, if a ❘ ( ab + c ), then a I c.

Mathematics
1 answer:
zhenek [66]3 years ago
3 0

Answer:

True.

Step-by-step explanation:

Let a,b,c integers  and a | (ab+c), that is to say that there exist a integer k such that ab+c = ka. Then:

ab+c = ka

c = ka-ab

c = a(k-b). So, c is a multiple of a, that is a | c.

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