The given expression is \( x^2 - 9 \), which is a difference of squares. The difference of squares formula is:

\[
a^2 - b^2 = (a - b)(a + b)
\]

Here, we can write \( x^2 - 9 \) as \( x^2 - 3^2 \). Applying the difference of squares formula:

\[
x^2 - 9 = (x - 3)(x + 3)
\]

So, the factorization of \( x^2 - 9 \) is \( (x - 3)(x + 3) \).

Do you want more details or have any questions?

Here are five related questions:
1. How do you factor expressions like \( x^2 - 16 \)?
2. What is the general formula for factoring differences of squares?
3. Can you solve \( x^2 - 9 = 0 \)?
4. How can you expand the product \( (x - 3)(x + 3) \)?
5. What happens if the sign between the terms is positive instead of negative?

**Tip:** When factoring, always check if a difference of squares applies—it simplifies expressions quickly.

Learn how to factor the algebraic expression x² - 9 using the difference of squares formula. This solution breaks down the factoring process for students in Grades 8-10, emphasizing key algebraic concepts and providing related questions to deepen understanding.

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