The expression you provided is:

$\frac{y^2}{y + 1}$

This is a simple rational expression. It cannot be simplified further unless specific values for $y$ are provided or unless the numerator and denominator share common factors, which they currently do not.

Would you like more details on this expression or how to work with rational expressions?

Here are 5 related questions you might find helpful:

1. How can you factor polynomials to simplify rational expressions?
2. What are the restrictions on the variable $y$ in this expression?
3. How do you perform division of polynomials?
4. What are some methods for solving rational equations?
5. How do you find vertical asymptotes of rational functions?

Tip: To simplify rational expressions, always check if the numerator can be factored and if any factors cancel with the denominator.