Here are the simplified forms of the given polynomial expressions:

1. $(n - 2)^2$ simplifies to $n^2 - 4n + 4$.
2. $(n + 2)(n - 2)$ simplifies to $n^2 - 4$.

Matching these with the options on the right:

• $(n - 2)^2$ matches $n^2 - 4n + 4$.
• $(n + 2)(n - 2)$ matches $n^2 - 4$.

Would you like more details or have any further questions? Here are some related questions you might find useful:

1. What are the steps to expand binomials like $(n-2)^2$?
2. Why does $(n+2)(n-2)$ simplify to $n^2 - 4$?
3. Can other binomial expressions be simplified similarly?
4. How do you factor quadratic expressions?
5. What is the difference between expanding and factoring polynomials?

Tip: Remember that $(a-b)^2$ follows the pattern $a^2 - 2ab + b^2$, which helps in quick expansion.