## Using the FOIL Method to Expand (x + 4)(x + 4)

The FOIL method is a helpful acronym used to remember the steps for multiplying two binomials. FOIL stands for **First, Outer, Inner, Last**, which represents the order in which you multiply the terms of the binomials.

Let's apply the FOIL method to expand the expression (x + 4)(x + 4):

### 1. First: Multiply the **first** terms of each binomial.

- x * x =
**x²**

### 2. Outer: Multiply the **outer** terms of the binomials.

- x * 4 =
**4x**

### 3. Inner: Multiply the **inner** terms of the binomials.

- 4 * x =
**4x**

### 4. Last: Multiply the **last** terms of each binomial.

- 4 * 4 =
**16**

### Combining the Terms

Now, we add all the terms we got from the FOIL method:

x² + 4x + 4x + 16

### Simplifying the Expression

Finally, combine the like terms:

**x² + 8x + 16**

Therefore, the expanded form of (x + 4)(x + 4) using the FOIL method is **x² + 8x + 16**.