## Expanding the Expression (a + 2)(a + 4)

This article will guide you through expanding the expression (a + 2)(a + 4) using the **FOIL method**.

### What is FOIL?

FOIL stands for **First, Outer, Inner, Last**. It is a mnemonic device to help remember how to multiply two binomials.

### Expanding the Expression:

**First:**Multiply the**first**terms of each binomial: a * a =**a²****Outer:**Multiply the**outer**terms of the binomials: a * 4 =**4a****Inner:**Multiply the**inner**terms of the binomials: 2 * a =**2a****Last:**Multiply the**last**terms of the binomials: 2 * 4 =**8**

Now, combine all the terms: a² + 4a + 2a + 8

Finally, simplify by combining like terms:
**a² + 6a + 8**

### Conclusion

Therefore, the expanded form of (a + 2)(a + 4) is **a² + 6a + 8**. By following the FOIL method, you can easily expand any two binomials.