## Understanding the FOIL Method with (x-1)(x-1)

The **FOIL** method is a handy acronym that helps us remember the steps for multiplying two binomials. It stands for:

**F**irst**O**uter**I**nner**L**ast

Let's apply it to the expression **(x-1)(x-1)**:

### Step 1: First

Multiply the **first** terms of each binomial:

- x * x =
**x²**

### Step 2: Outer

Multiply the **outer** terms of the binomials:

- x * -1 =
**-x**

### Step 3: Inner

Multiply the **inner** terms of the binomials:

- -1 * x =
**-x**

### Step 4: Last

Multiply the **last** terms of the binomials:

- -1 * -1 =
**1**

### Combining the Terms

Now, add all the results together:

x² - x - x + 1

### Simplifying the Expression

Combine the like terms:

**x² - 2x + 1**

Therefore, **(x-1)(x-1) = x² - 2x + 1** using the FOIL method.

### Key Takeaways

- The FOIL method ensures we multiply all the necessary terms in a binomial multiplication.
- It helps to organize the steps and avoid missing any terms.
- Always remember to combine like terms after applying FOIL to get the simplified expression.