The expression \((m + 3)(m - 3)\) can be simplified using the difference of squares formula. The difference of squares formula states that:

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

Here, \(a = m\) and \(b = 3\). Applying the formula:

\[
(m + 3)(m - 3) = m^2 - 3^2
\]

Simplifying further:

\[
m^2 - 9
\]

So, \((m + 3)(m - 3) = m^2 - 9\).

Would you like any further details or have any questions?

Here are five related questions:
1. How would you factor \(m^2 - 9\) back into its binomial form?
2. What is the difference of squares formula, and how is it used in algebra?
3. How would you simplify \((2m + 5)(2m - 5)\) using the difference of squares?
4. Can the expression \((m + 4)(m - 4)\) be simplified similarly? What would it become?
5. How do you recognize when to use the difference of squares in factorization?

**Tip:** The difference of squares is a powerful tool for simplifying expressions and solving quadratic equations. Always check if an expression can be factored using this method!

Learn how to simplify the expression (m + 3)(m - 3) using the difference of squares formula. This solution breaks down the algebraic process and explains the key concepts of polynomial factoring. Ideal for students in Grades 8-10.

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