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The expression you're being asked to multiply is:

\[
(5 - z)(5 + z)
\]

This is a difference of squares. The general formula for multiplying two binomials of this form is:

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

In your case:
- \( a = 5 \)
- \( b = z \)

Applying the formula:

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

So, the simplified answer is:

\[
25 - z^2
\]

Let me know if you'd like more details or further clarifications!

Here are five related questions to deepen your understanding:
1. How do you factor the difference of squares?
2. Can you multiply binomials using a different method like FOIL?
3. What happens if one of the signs in the original expression is changed?
4. Can you apply the difference of squares formula to trinomials?
5. How would you approach multiplying non-symmetric binomials?

**Tip**: Always look out for patterns like the difference of squares when multiplying binomials; it simplifies the process!

Multiply (5 - z)(5 + z). Simplify your answer.

Learn how to multiply and simplify the binomials (5 - z)(5 + z) using the difference of squares formula. This algebraic problem is ideal for students in Grades 7-9, covering the key concepts of binomials and algebraic simplifications.

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