The expression \((x - 8)(x + 8)\) is a difference of squares. The formula for the difference of squares is:

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

In this case, \(a = x\) and \(b = 8\). Applying the formula:

\[
(x - 8)(x + 8) = x^2 - 8^2
\]

Simplifying further:

\[
x^2 - 64
\]

So, \((x - 8)(x + 8) = x^2 - 64\).

Would you like more details or have any questions about this?

Here are five related questions:
1. What is the result of \((x - 5)(x + 5)\)?
2. How does the difference of squares formula work for \( (x - 10)(x + 10) \)?
3. Can you expand \((x - 4)(x + 6)\) using the distributive property?
4. What is the expanded form of \((x - 3)(x + 3)\)?
5. How would you factor the expression \(x^2 - 49\)?

**Tip:** The difference of squares is a useful factorization technique when you have two terms that are perfect squares and are subtracted from each other.

Explore how to simplify and understand the expression (x - 8)(x + 8) through the difference of squares formula. Learn step-by-step with detailed explanations and examples. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation