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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Step-by-step explanation:

The complete question in the attached figure N 1

Part a) If the original square is shown below with side lengths marked with x, label the second diagram to represent the new rectangle constructed by increasing the sides as described above

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The diagram of the new rectangle in the attached figure N 2

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we have that

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