To expand the expression \((2x + 5)(2x - 5)\), we use the difference of squares formula:

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

Here, \(a = 2x\) and \(b = 5\). Applying the formula:

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

Calculating each term:

\[
(2x)^2 = 4x^2 \quad \text{and} \quad 5^2 = 25
\]

Thus, the expanded form is:

\[
4x^2 - 25
\]

### Would you like more details or have any questions?

Here are 5 related questions:
1. How would you expand \((3x + 4)(3x - 4)\)?
2. Can you apply the difference of squares to \((x + 7)(x - 7)\)?
3. What is the expanded form of \((4x + 3)(4x - 3)\)?
4. How does the difference of squares formula change if the signs inside the parentheses are the same?
5. Can you use the FOIL method to expand \((2x + 5)(2x - 5)\)?

**Tip:** The difference of squares formula is especially useful for simplifying expressions where you have the same terms with opposite signs in binomials.

Learn how to expand the expression (2x+5)(2x-5) using the difference of squares formula: (a + b)(a - b) = a^2 - b^2. This problem is suitable for students in Grades 8-10, covering key algebraic concepts and binomial multiplication techniques.

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