https://file.aiquickdraw.com/mathbot/file/1727093007133fjekwiyx.jpg

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.

Match the polynomial expression on the left with the simplified version on the right.

Learn how to match polynomial expressions with their simplified forms. This problem covers key algebraic concepts such as binomial expansion, factoring, and the difference of squares theorem. Suitable for students in Grades 9-11.

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