please answer letter a only

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please answer letter a only

Let R = R\ {-1} and define the operation ♡ on R by
a♡b = ab + a + b
Va, be R. Show that
(a) V is a binary operation in R.
(b) (R, 0) is an abelian group.
Transcribed Image Text:Let R = R\ {-1} and define the operation ♡ on R by a♡b = ab + a + b Va, be R. Show that (a) V is a binary operation in R. (b) (R, 0) is an abelian group.
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