To simplify the expression \((x - 5)(x + 5)\), we can use the difference of squares formula, which states:

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

In this expression, \(a = x\) and \(b = 5\). Applying the formula:

\[
(x - 5)(x + 5) = x^2 - 5^2
\]

Now calculate \(5^2\):

\[
x^2 - 25
\]

So, the simplified form of \((x - 5)(x + 5)\) is:

\[
x^2 - 25
\]

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

Here are 5 related questions to explore further:

1. How would you simplify the expression \((x - 7)(x + 7)\)?
2. What is the expanded form of \((x - 3)^2\)?
3. How can you factor the expression \(x^2 - 36\)?
4. What happens when you multiply \((x - 2)(x - 2)\)?
5. How do you expand the product \((2x - 5)(2x + 5)\)?

**Tip:** When dealing with products of binomials that have the form \((a - b)(a + b)\), always consider using the difference of squares formula for quick simplification.

Learn how to simplify the algebraic expression (x - 5)(x + 5) using the difference of squares formula. This problem involves key concepts in algebra, including polynomials and the difference of squares theorem. Suitable for students in Grades 7-9.

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