## Understanding (x+10)(x-10)

The expression (x+10)(x-10) represents the product of two binomials. It can be simplified using the **difference of squares** pattern.

### What is the Difference of Squares?

The difference of squares pattern is a useful algebraic identity:

**(a + b)(a - b) = a² - b²**

This pattern shows that the product of two binomials with the same terms but opposite signs is equal to the difference of the squares of those terms.

### Applying the Pattern to (x+10)(x-10)

In this case, we have:

- a = x
- b = 10

Applying the difference of squares pattern:

(x + 10)(x - 10) = x² - 10²

### Simplifying the Expression

Simplifying further, we get:

(x + 10)(x - 10) = **x² - 100**

### Conclusion

Therefore, the simplified form of (x+10)(x-10) is **x² - 100**. This example demonstrates the usefulness of recognizing common algebraic patterns like the difference of squares, which can simplify complex expressions.