Final answer:
To add and simplify (7)/(b+3) + (5b+8)/(b+3), combine like terms in the numerator, resulting in (5b + 15)/(b+3), which is the simplified form of the expression.
Step-by-step explanation:
To add (7)/(b+3) + (5b+8)/(b+3), we first note that the denominators are identical, which means we can combine the numerators directly: (7)/(b+3) + (5b+8)/(b+3) = (7 + 5b + 8)/(b+3). Next, we simplify the numerator by combining like terms: (7 + 5b + 8)/(b+3) = (5b + 15)/(b+3). There are no common factors between the numerator and the denominator that we can eliminate, so this is the simplified form of the expression. We should also check the answer to ensure that it is reasonable and does not contain any simplification errors.