To expand the expression \((n + 9)(n + 8)\), you can use the distributive property, also known as FOIL (First, Outer, Inner, Last):

\[
(n + 9)(n + 8) = n \cdot n + n \cdot 8 + 9 \cdot n + 9 \cdot 8
\]

Now, calculate each term:

- \(n \cdot n = n^2\)
- \(n \cdot 8 = 8n\)
- \(9 \cdot n = 9n\)
- \(9 \cdot 8 = 72\)

Now, combine all these terms:

\[
n^2 + 8n + 9n + 72
\]

Finally, combine like terms:

\[
n^2 + 17n + 72
\]

So, the expanded form of \((n + 9)(n + 8)\) is:

\[
n^2 + 17n + 72
\]

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. How would you factor the expression \(n^2 + 17n + 72\)?
2. What is the solution to the equation \(n^2 + 17n + 72 = 0\)?
3. How would the expression change if it were \((n - 9)(n - 8)\)?
4. Can you expand \((n + 9)(n - 8)\) and compare it with the previous result?
5. How do you complete the square for the expression \(n^2 + 17n + 72\)?

**Tip:** When expanding binomials, always check for common factors after combining like terms, as they might simplify the expression.

Learn how to expand the expression (n + 9)(n + 8) using the distributive property (FOIL method). This problem covers algebraic concepts such as polynomials and the distributive property. Suitable for students in Grades 7-9.

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