So I have to answer this question:
Let U be the set of expressions of the form a + bu where a and b are real numbers. The u is a formal symbol. We want to make U into a ring similar to how we defined C as a ring, and we’d like u to satisfy the equation $u^2 = 2u - 2$. Provide the formulas we should use to define + and · in U.
Anybody understand what is meant by ''provide the formulas...''? Do I simply have to define addition and multiplication in U in the exact same way as in** C**? If not, what am I to do?