Let the operations * and e be defined on the set of integers. Find each of the following are commutives, associatives, left-distributive, and right-distributive. 3. a*b=2ab; aeb=2a+2b+4ab
Let the operations * and e be defined on the set of integers. Find each of the following are commutives, associatives, left-distributive, and right-distributive. 3. a*b=2ab; aeb=2a+2b+4ab
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
Problem 9OE
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![Let the operations * and e be defined on the set of
integers.
Find each of the following are commutives, associatives,
left-distributive, and right-distributive.
3. a*b=2ab; aeb=2a+2b+4ab
4. a*b=-a-b-2ab; a@b=3a+3b
5. x*y=x²+2x+y; x@y=x+y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb83a0b96-1e6c-4099-98ac-8acaf254636b%2F8af6f59f-8a7d-41e2-b122-1b8629eca823%2Fzeaxqk4_processed.png&w=3840&q=75)
Transcribed Image Text:Let the operations * and e be defined on the set of
integers.
Find each of the following are commutives, associatives,
left-distributive, and right-distributive.
3. a*b=2ab; aeb=2a+2b+4ab
4. a*b=-a-b-2ab; a@b=3a+3b
5. x*y=x²+2x+y; x@y=x+y
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