The expression \((x - 20)(x + 20)\) is a product of two binomials. This is a classic difference of squares situation, where the general form is \((a - b)(a + b)\), which can be expanded as:

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

In this case, \(a = x\) and \(b = 20\). Applying the formula:

\[
(x - 20)(x + 20) = x^2 - 20^2
\]

Since \(20^2 = 400\), the expression simplifies to:

\[
x^2 - 400
\]

So, \((x - 20)(x + 20)\) simplifies to \(x^2 - 400\).

Would you like more details or have any questions about this?

Here are 5 related questions you might find interesting:
1. How do you factor a difference of squares?
2. What is the difference of squares formula used for in algebra?
3. Can you solve \(x^2 - 400 = 0\) for \(x\)?
4. How would the expression change if it were \((x - 20)(x - 20)\) instead?
5. What are other common factoring techniques besides difference of squares?

**Tip:** When you recognize a difference of squares, it can quickly simplify solving equations or factoring expressions.

Learn how to simplify the expression (x - 20)(x + 20) by applying the difference of squares formula. This solution covers fundamental algebraic concepts, including polynomials and the difference of squares theorem, suitable for students in Grades 7-9.

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