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.