## Expanding (x+6)(x+9)

In mathematics, expanding an expression means multiplying out all the terms. To expand the expression (x+6)(x+9), we can use the **FOIL method**:

**F**irst: Multiply the first terms of each binomial: **x * x = x²**
**O**uter: Multiply the outer terms of the binomials: **x * 9 = 9x**
**I**nner: Multiply the inner terms of the binomials: **6 * x = 6x**
**L**ast: Multiply the last terms of each binomial: **6 * 9 = 54**

Now we have: **x² + 9x + 6x + 54**

Finally, combine the like terms: **x² + 15x + 54**

Therefore, the expanded form of (x+6)(x+9) is **x² + 15x + 54**.

### Understanding the FOIL Method

The FOIL method is a helpful mnemonic device for remembering the steps involved in multiplying two binomials. It ensures that you multiply every term in the first binomial by every term in the second binomial.

### Other Methods for Expanding

While the FOIL method is a common approach, you can also expand this expression using other methods:

**Distributive Property:**Distribute each term in the first binomial over the second binomial.**Box Method:**Create a grid with the terms of each binomial on the top and side and multiply to fill in the boxes.

Regardless of the method you choose, the expanded form of (x+6)(x+9) will always be **x² + 15x + 54**.