https://file.aiquickdraw.com/mathbot/file/1725406965378cl52lxfi.jpg

The expression shown in the image is \(25x^2 - 9\). This is a difference of squares, which can be factored using the formula:

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

In this case:

- \(a^2 = 25x^2\) so \(a = 5x\)
- \(b^2 = 9\) so \(b = 3\)

Applying the difference of squares formula:

\[
25x^2 - 9 = (5x - 3)(5x + 3)
\]

So, the factored form of the expression is \((5x - 3)(5x + 3)\).

Would you like more details or have any questions?

Here are some related questions:
1. What is the difference of squares and how is it used in factoring?
2. How do you identify if an expression is a difference of squares?
3. Can the difference of squares formula be applied to any polynomial?
4. What are the steps for factoring a quadratic expression not in the form of a difference of squares?
5. How can the concept of difference of squares be used in solving equations?

**Tip:** When factoring, always check first if the expression can be factored as a difference of squares, which is a common and straightforward method.

Learn how to factor the algebraic expression 25x^2 - 9 using the difference of squares formula. This solution is suitable for students in Grades 8-10.

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