## Expanding the Expression (5a + 2)(a + 4)

This article will explore how to expand the expression (5a + 2)(a + 4) using the **FOIL method**.

### Understanding the FOIL Method

The **FOIL method** is a mnemonic acronym used to remember the steps for expanding the product of two binomials:

**F**irst: Multiply the first terms of each binomial.**O**uter: Multiply the outer terms of the binomials.**I**nner: Multiply the inner terms of the binomials.**L**ast: Multiply the last terms of each binomial.

### Expanding the Expression

Let's apply the FOIL method to (5a + 2)(a + 4):

**First:**(5a)(a) =**5a²****Outer:**(5a)(4) =**20a****Inner:**(2)(a) =**2a****Last:**(2)(4) =**8**

Now, we combine the results:

**5a² + 20a + 2a + 8**

Finally, simplify by combining like terms:

**5a² + 22a + 8**

Therefore, the expanded form of (5a + 2)(a + 4) is **5a² + 22a + 8**.

### Conclusion

By applying the FOIL method, we can successfully expand the expression (5a + 2)(a + 4) into a simplified polynomial form. This method provides a structured approach for multiplying binomials, ensuring that all terms are accounted for.