## Using the FOIL Method to Expand (x - 3)(4x + 2)

The FOIL method is a mnemonic acronym that stands for **First, Outer, Inner, Last**. It's a helpful technique for expanding products of binomials. Let's see how it applies to the expression **(x - 3)(4x + 2)**.

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

**x*****4x**=**4x²**

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

**x*****2**=**2x**

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

**-3*****4x**=**-12x**

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

**-3*****2**=**-6**

### Combining the terms:

Now, we combine all the terms we've calculated:

**4x² + 2x - 12x - 6**

Finally, simplify the expression by combining like terms:

**4x² - 10x - 6**

Therefore, the expanded form of **(x - 3)(4x + 2)** using the FOIL method is **4x² - 10x - 6**.