The expression \( 4x^2 - 25 \) is a difference of squares, which can be factored using the formula:

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

In this case:
- \( a^2 = 4x^2 \), so \( a = 2x \)
- \( b^2 = 25 \), so \( b = 5 \)

Thus, the factorization is:

\[
4x^2 - 25 = (2x - 5)(2x + 5)
\]

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. How would you factor \( 9x^2 - 16 \)?
2. Can you factor \( x^2 - 36 \)?
3. What happens when you try to factor \( 4x^2 + 25 \)?
4. Can you use the difference of squares to factor \( 16x^2 - 81 \)?
5. How do you factor \( 4x^2 - 49 \)?

**Tip:** The difference of squares formula is powerful for recognizing patterns where subtraction occurs between perfect squares.

Learn how to factor the algebraic expression 4x² - 25 by applying the difference of squares formula. This detailed guide walks through each step of the process, breaking down key algebraic concepts. Ideal for students in Grades 8-10 looking to deepen their understanding of factoring.

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