Let a and b be real numbers such that a - b = 1 and a^3 - b^3 = 1.
(a) Find all possible values of ab (b) Find all possible values of a + b (c) Find all possible values of a and b
a – b = 1
a3 – b3 = 1
c. When a = 0, then b = –1
When b = 0, then a = +1
a. ab is either [0 • –1] or [0 • +1] ... 0 either way
b. a+b is either [0+(–1)] or [0+(+1)] ... –1 or +1
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