Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 4 - Elementary Number Theory and Methods of Proof - Exercise Set 4.3 - Page 177: 8

Answer

Yes, $6a(a+b)$ is a multiple of $3a$. To see this, note that $6a(a+b)=3a[2(a+b)]$, where $3a$, $2$, and $a+b$ are all integers because they are sums and products of integers. By definition, then, $6a(a+b)$ is a multiple of $3a$.

Work Step by Step

Note that "B is a multiple of A" means the same thing as "A divides B".
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.