## Expanding the Expression: (8p - 2)(6p + 2)

This article will guide you through the process of expanding the given expression, (8p - 2)(6p + 2), using the **FOIL** method.

### Understanding FOIL

**FOIL** stands for **First, Outer, Inner, Last**, and it's a mnemonic used to remember the steps for multiplying two binomials. Let's break down the steps:

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

- (8p) * (6p) = 48p²

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

- (8p) * (2) = 16p

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

- (-2) * (6p) = -12p

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

- (-2) * (2) = -4

### Combining the Terms

Now, we have the following terms:

- 48p²
- 16p
- -12p
- -4

Combine the like terms:

- 48p² + 16p - 12p - 4

Simplify:

**48p² + 4p - 4**

### Conclusion

Therefore, the expanded form of the expression (8p - 2)(6p + 2) is **48p² + 4p - 4**. Remember, the FOIL method is a handy tool for multiplying binomials and ensures that you cover all the necessary combinations.