## Multiplying Binomials: (4x - 4)(x - 4) using FOIL

The **FOIL** method is a mnemonic acronym that stands for **First, Outer, Inner, Last**. It's a helpful way to remember the steps to multiply two binomials.

Let's break down how to use FOIL to multiply (4x - 4)(x - 4):

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

```
(4x - 4)(x - 4) = **4x * x** = 4x²
```

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

```
(4x - 4)(x - 4) = 4x * **-4** = -16x
```

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

```
(4x - 4)(x - 4) = **-4 * x** = -4x
```

**4. Last:** Multiply the **last** terms of the binomials.

```
(4x - 4)(x - 4) = **-4 * -4** = 16
```

**5. Combine Like Terms:** Add the results of steps 1-4:

```
4x² - 16x - 4x + 16 = **4x² - 20x + 16**
```

**Therefore, (4x - 4)(x - 4) = 4x² - 20x + 16**

**Key Points**

**FOIL**is a great method for remembering to multiply all possible combinations of terms in two binomials.- Always
**combine like terms**after applying FOIL to simplify the final expression.

**Practice Tip**

Use FOIL to multiply other binomial expressions. You can also check your answers by using the distributive property to multiply the binomials.