## Understanding (x + 12)(x - 12)

This expression represents the product of two binomials: (x + 12) and (x - 12). It's a classic example of the **difference of squares** pattern, which is a fundamental concept in algebra.

### The Difference of Squares Pattern

The difference of squares pattern states that:

**(a + b)(a - b) = a² - b²**

In our expression, **a = x** and **b = 12**. Therefore, applying the pattern:

**(x + 12)(x - 12) = x² - 12²**

### Simplifying the Expression

The final step is to simplify the expression by squaring 12:

**x² - 12² = x² - 144**

### Conclusion

Therefore, the simplified form of the expression (x + 12)(x - 12) is **x² - 144**. Understanding the difference of squares pattern is crucial for factoring and simplifying various algebraic expressions.