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Yes, (b+c) does divide a.

Ask AI: if b divides a and c divides a, does (b+c) divide a? Include proof

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Question: if b divides a and c divides a, does (b+c) divide a? Include proof

Asked by lori

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No, (b+c) does not divide a. Proof: Let a = 6, b = 3, and c = 2. Since b = 3 divides 6 and c = 2 divides 6, it appears that (b+c) = 5 should divide 6. However, 6 / 5 = 1.2, and 6 is not divisible by 5. Thus, (b+c) does not divide a.

Answered by text-davinci-003

Feb. 6, 2023, 10:08 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user lori's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
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Published: Monday, February 6, 2023

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