The expression \((x - 2)(x + 2)\) can be simplified using the difference of squares formula, which states that:

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

Here, \(a = x\) and \(b = 2\). So:

\[
(x - 2)(x + 2) = x^2 - 2^2 = x^2 - 4
\]

**Final Answer:**

\[
(x - 2)(x + 2) = x^2 - 4
\]

Would you like a further explanation, or have any other questions?

### Related Questions:
1. What is the difference of squares formula, and when is it useful?
2. How would you expand \((x - 3)(x + 3)\) using a similar method?
3. Can you apply this formula to \((2x - 5)(2x + 5)\)?
4. How do you factor \(x^2 - 4\) back into \((x - 2)(x + 2)\)?
5. Why does the difference of squares work only when there’s subtraction, not addition?

**Tip:** The difference of squares is particularly useful in simplifying expressions and solving equations that involve quadratic terms.

Discover how to simplify the expression (x-2)(x+2) using the difference of squares formula, leading to the result x^2 - 4. This explanation is ideal for students in Grades 7-9 who are learning about algebra and polynomials.

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