chris5081 chris5081

30-07-2019
Mathematics

contestada

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

Respuesta :

botellok botellok

06-08-2019

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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