Suppose that the functions and are defined for all real numbers as follows. r(x)=3x^(2) s(x)=2x write the expressions for (r-s)(x) and (r+s)(x) and evaluate (r*).

The expression for (r-s)(x) is found by subtracting s from r.  That difference is .  The expression for (r+s)(x) is found by adding them, which is .  Now we are told to evaluate (r*s)(x) which means they want us to multiply those and state the "new" expression that results.  .  There you go!