Final answer:
The expression (x² + y²/xy) simplifies to x/y + y/x, as it can be broken down into two separate terms which when simplified give the mentioned result.
Step-by-step explanation:
To simplify the expression (x² + y²/xy), we start by writing it as the sum of two fractions: x²/xy + y²/xy. Simplifying each term separately, we get x/y for the first term (because x² divided by xy is x) and y/x for the second term (because y² divided by xy is y). Therefore, the expression simplifies to x/y + y/x, which matches with option (c) in the given choices. This is the simplest form of the expression, and it cannot be simplified further.