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The problem is asking to multiply the binomials \( (5z - 6)(5z - 2) \).

Let's solve this step by step using the distributive property (also known as FOIL for binomials):

\[
(5z - 6)(5z - 2)
\]

1. Multiply the first terms:
   \[
   5z \times 5z = 25z^2
   \]

2. Multiply the outer terms:
   \[
   5z \times (-2) = -10z
   \]

3. Multiply the inner terms:
   \[
   -6 \times 5z = -30z
   \]

4. Multiply the last terms:
   \[
   -6 \times (-2) = 12
   \]

Now, combine the like terms:

\[
25z^2 - 10z - 30z + 12 = 25z^2 - 40z + 12
\]

The correct answer is **Option B: \( 25z^2 - 40z + 12 \)**.

Would you like more details or explanations on this? 

Here are 5 related questions to expand your understanding:
1. How would you multiply two binomials with different variables?
2. What is the distributive property, and how does it apply to algebraic expressions?
3. How would the solution change if one of the signs in the binomials was positive instead of negative?
4. Can you factor the result \( 25z^2 - 40z + 12 \)?
5. What are some special cases when multiplying binomials, like the difference of squares?

**Tip**: When multiplying binomials, remember to distribute each term from the first binomial to both terms of the second binomial!

Learn how to multiply the binomials (5z - 6)(5z - 2) using the distributive property (FOIL). This problem demonstrates key algebraic concepts such as multiplying polynomials and combining like terms. Suitable for students in Grades 7-10.

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