## Multiplying Binomials Using the FOIL Method

The FOIL method is a common acronym used to remember the steps for multiplying two binomials. It stands for **First, Outer, Inner, Last**. This method ensures that each term in the first binomial is multiplied by each term in the second binomial.

Let's use the example of (x + 1)(x + 2) to demonstrate how the FOIL method works.

### Steps:

**First:**Multiply the**first**terms of each binomial.- x * x = x²

**Outer:**Multiply the**outer**terms of the binomials.- x * 2 = 2x

**Inner:**Multiply the**inner**terms of the binomials.- 1 * x = x

**Last:**Multiply the**last**terms of each binomial.- 1 * 2 = 2

### Combining the Terms:

Now, we combine all the terms we got from the FOIL method:

x² + 2x + x + 2

### Simplifying the Expression:

Finally, we combine the like terms:

x² + 3x + 2

Therefore, the product of (x + 1)(x + 2) is **x² + 3x + 2**.

### Key Points:

- The FOIL method helps to systematically multiply the terms of two binomials.
- Remember to combine like terms after using the FOIL method.
- You can apply this method to any two binomials.

By following the steps of the FOIL method, you can confidently multiply any two binomials and arrive at the correct answer.