## Expanding the Expression (x+8)(x+9)

This article will guide you through the process of expanding the expression (x+8)(x+9) using the **FOIL method**.

### Understanding the FOIL Method

FOIL stands for **First, Outer, Inner, Last**. It's a mnemonic device that helps you remember the steps to multiply two binomials. Here's how it works:

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

### Applying FOIL to (x+8)(x+9)

**First:**x * x =**x²****Outer:**x * 9 =**9x****Inner:**8 * x =**8x****Last:**8 * 9 =**72**

Now, we have the following terms: **x² + 9x + 8x + 72**

### Combining Like Terms

The final step is to combine the like terms: 9x and 8x.

This gives us our expanded expression: **x² + 17x + 72**

### Conclusion

Therefore, the expanded form of (x+8)(x+9) is **x² + 17x + 72**. This process demonstrates how the FOIL method can be applied to expand binomials and simplify expressions.