The expression \((3a - 2b)(3a + 2b)\) is another example of the difference of squares.

The difference of squares formula is:
\[
(x - y)(x + y) = x^2 - y^2
\]

In this case, \(x = 3a\) and \(y = 2b\). So, applying the formula:
\[
(3a - 2b)(3a + 2b) = (3a)^2 - (2b)^2
\]

Now, calculate the squares:
\[
(3a)^2 = 9a^2 \quad \text{and} \quad (2b)^2 = 4b^2
\]

Thus, the simplified result is:
\[
9a^2 - 4b^2
\]

Would you like any more help with this problem or related concepts?

### 5 Related Questions:
1. How can you recognize when to use the difference of squares formula?
2. What are other common algebraic identities similar to the difference of squares?
3. How do you expand and simplify expressions involving products of binomials?
4. Can the difference of squares be applied to non-polynomial expressions?
5. How can you factor expressions that are already in the form of a difference of squares?

### Tip:
When you encounter a product of binomials in the form \((x - y)(x + y)\), always check if it can be simplified using the difference of squares. This often leads to quicker and simpler solutions.

Explore how to simplify the expression (3a - 2b)(3a + 2b) using the difference of squares formula. Step-by-step explanation and calculation of the squares involved: (3a)^2 and (2b)^2. Suitable for advanced high school students.

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