Zashmar Messages 48 Reaction score 0 Thread starter Apr 18, 2013 #1 Show that a•b=(a+b)^2 has no identity for real numbers Hi this is a new topic please help Thanks
HallsofIvy Science Advisor Homework Helper Messages 42,895 Reaction score 983 Apr 18, 2013 #2 An "identity" for an operation would be a member of the group, I, such at a•I= I•a= a. So you just need to show there is no number, I, such that (a+ I)^2= a for every a.
An "identity" for an operation would be a member of the group, I, such at a•I= I•a= a. So you just need to show there is no number, I, such that (a+ I)^2= a for every a.