The problem presented in the image is to find the product of two binomials:

$(5c + 6)(5c - 6)$

This is a difference of squares problem, which follows the formula:

$(a + b)(a - b) = a^2 - b^2$

In this case:

• $a = 5c$
• $b = 6$

So, applying the difference of squares formula:

$(5c + 6)(5c - 6) = (5c)^2 - (6)^2$ $= 25c^2 - 36$

Thus, the simplified answer is:

$25c^2 - 36$

Would you like further details on the steps, or do you have any additional questions?

Here are 5 related questions:

1. How do you recognize when to apply the difference of squares formula?
2. What are other examples of binomials where the difference of squares can be used?
3. How would you solve $(3x + 5)(3x - 5)$?
4. What is the geometric interpretation of the difference of squares?
5. How can this concept be extended to higher-degree polynomials?

Tip: When factoring or expanding expressions, always look for patterns like the difference of squares, perfect square trinomials, or common factors to simplify the work!