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.