## Simplifying (x+4)(x-4)

The expression (x+4)(x-4) is a product of two binomials. We can simplify this expression using the **difference of squares** pattern.

### What is the Difference of Squares Pattern?

The difference of squares pattern states that:
**(a + b)(a - b) = a² - b²**

### Applying the Pattern to (x+4)(x-4)

In our expression, we have:

**a = x****b = 4**

Applying the difference of squares pattern, we get:

**(x + 4)(x - 4) = x² - 4²**

### Simplifying further

We can further simplify the expression by squaring the constant term:

**x² - 4² = x² - 16**

Therefore, the simplified form of (x+4)(x-4) is **x² - 16**.

### Key Takeaway

The difference of squares pattern is a useful tool for simplifying expressions of the form (a + b)(a - b). By recognizing this pattern, we can quickly and efficiently simplify expressions without having to expand them using the distributive property.