## Understanding the FOIL Method with (x + 2)(x + 2)

The **FOIL method** is a mnemonic acronym used to remember the steps for multiplying two binomials. It stands for:

**F**irst**O**uter**I**nner**L**ast

Let's break down how to use the FOIL method to multiply (x + 2)(x + 2):

### Step 1: First

Multiply the **first** terms of each binomial:

- x * x =
**x²**

### Step 2: Outer

Multiply the **outer** terms of the binomials:

- x * 2 =
**2x**

### Step 3: Inner

Multiply the **inner** terms of the binomials:

- 2 * x =
**2x**

### Step 4: Last

Multiply the **last** terms of each binomial:

- 2 * 2 =
**4**

### Step 5: Combine Like Terms

Now, add all the terms together:

x² + 2x + 2x + 4

Combine the '2x' terms:

**x² + 4x + 4**

Therefore, (x + 2)(x + 2) is equal to **x² + 4x + 4** using the FOIL method.

### Why the FOIL Method Works

The FOIL method is essentially a way to ensure that every term in the first binomial is multiplied by every term in the second binomial. This is important because it guarantees that we don't miss any terms when expanding the product of two binomials.

### Other Applications

The FOIL method is a fundamental concept in algebra and is used to solve various problems, including:

**Factoring quadratic expressions****Solving equations****Graphing quadratic functions**

Understanding the FOIL method is crucial for developing a strong foundation in algebra and mastering various mathematical concepts.