## Simplifying (x+4)(x-2)

In mathematics, simplifying expressions often involves expanding and combining like terms. Let's take a look at how to simplify the expression **(x+4)(x-2)**.

### Understanding the Process

This expression represents the product of two binomials. To simplify it, we can use the **FOIL** method:

**F**irst: Multiply the first terms of each binomial:**x * x = x²****O**uter: Multiply the outer terms of the binomials:**x * -2 = -2x****I**nner: Multiply the inner terms of the binomials:**4 * x = 4x****L**ast: Multiply the last terms of each binomial:**4 * -2 = -8**

### Applying FOIL

Now we have:
**x² - 2x + 4x - 8**

### Combining Like Terms

Finally, we combine the **-2x** and **4x** terms:
**x² + 2x - 8**

### The Simplified Expression

Therefore, the simplified form of **(x+4)(x-2)** is **x² + 2x - 8**.