The expression you provided is:

\[
25a^2 - 9
\]

This is a difference of squares, as it follows the form \( A^2 - B^2 \), where:

- \( A^2 = 25a^2 \) (so \( A = 5a \))
- \( B^2 = 9 \) (so \( B = 3 \))

The difference of squares formula is given by:

\[
A^2 - B^2 = (A + B)(A - B)
\]

Using this formula, we can factor the expression as:

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

So, the factored form of \( 25a^2 - 9 \) is:

\[
(5a + 3)(5a - 3)
\]

Would you like more details or have any questions?

Here are some related questions:
1. What is the difference of squares formula?
2. How would you factor \( 36x^2 - 49 \)?
3. What if the expression was \( 25a^2 + 9 \)? Can it be factored?
4. Can a trinomial be factored using a similar method?
5. How does factoring help in solving quadratic equations?

**Tip:** Recognizing patterns like the difference of squares can greatly simplify factoring and solving equations.

Learn how to factor the expression 25a^2 - 9 using the difference of squares formula. This algebraic problem breaks down the concept step by step, focusing on recognizing the pattern of A^2 - B^2 and applying the formula. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation