## Using the FOIL Method to Expand (x + 2)(x + 7)

The FOIL method is a helpful mnemonic device used to remember the steps for multiplying two binomials. FOIL stands for **First, Outer, Inner, Last**. Let's break down how to apply this method to expand the expression (x + 2)(x + 7).

### 1. First

Multiply the **first** terms of each binomial:
x * x = **x²**

### 2. Outer

Multiply the **outer** terms of the binomials:
x * 7 = **7x**

### 3. Inner

Multiply the **inner** terms of the binomials:
2 * x = **2x**

### 4. Last

Multiply the **last** terms of each binomial:
2 * 7 = **14**

### Combining the Terms

Now, add all the terms together:

x² + 7x + 2x + 14

Finally, combine like terms:

**x² + 9x + 14**

Therefore, the expanded form of (x + 2)(x + 7) is **x² + 9x + 14**.