The expression you provided can be written as:

\[
\frac{(n + 2)^3}{(n + 1)^3}
\]

This is the cube of \( n+2 \) divided by the cube of \( n+1 \). Would you like me to expand or simplify this further? Or are you looking for something else related to this expression?

Here are some follow-up questions related to this topic:
1. Would you like to evaluate this expression for specific values of \( n \)?
2. Are you looking to simplify or factor any part of this expression?
3. Do you need help with the concept of exponents and cubes?
4. Should I assist with plotting this expression graphically?
5. Would you like to compare this expression to another similar one?

**Tip:** When working with exponents, remember that \( a^m \div a^n = a^{m-n} \), as long as the bases are the same.

Learn how to work with exponents and simplify expressions like (n+2)^3 / (n+1)^3. This problem covers key algebraic concepts, such as expanding and simplifying polynomials and the properties of exponents. Suitable for students in Grades 8-10.

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