## Expanding the Expression (a + 8)(a - 3)

This article will guide you through expanding the expression (a + 8)(a - 3), using the **FOIL method**.

### Understanding the FOIL Method

FOIL stands for **First, Outer, Inner, Last**, and it's a mnemonic device to help remember the steps for multiplying two binomials.

**First:** Multiply the first terms of each binomial.
**Outer:** Multiply the outer terms of the binomials.
**Inner:** Multiply the inner terms of the binomials.
**Last:** Multiply the last terms of each binomial.

### Applying FOIL to (a + 8)(a - 3)

**First:** (a) * (a) = a²
**Outer:** (a) * (-3) = -3a
**Inner:** (8) * (a) = 8a
**Last:** (8) * (-3) = -24

Now, combine all the terms:

a² - 3a + 8a - 24

### Simplifying the Expression

Finally, combine the like terms:

a² + 5a - 24

Therefore, the expanded form of (a + 8)(a - 3) is **a² + 5a - 24**.

### Summary

By using the FOIL method, we successfully expanded the expression (a + 8)(a - 3) into its simplified form, a² + 5a - 24. This method provides a systematic approach for multiplying binomials and helps avoid errors.