If the operation (*) is defined for all integers a and b by a (*) b = a + b - ab, which of the following statements must be true for all integers, a, b, and c?
I. a (*) b = b (*) a
II. a (*) 0 = a
III. (a*b)*c = a*(b*c)
Here was a question that I was wondering if anyone could offer a simpler method for calculating out option III?
resurrecting this thread.. anyone have the OA for this?
I and II clearly true but unsure about the third still, thanks.