## Finding the Product of (a - 6)^2

The expression (a - 6)^2 represents the square of the binomial (a - 6). To find the product, we can use the **FOIL method** or the **square of a binomial formula**.

### Using the FOIL Method

**FOIL** stands for **First, Outer, Inner, Last**. It's a helpful acronym for remembering how to multiply two binomials.

**First:**Multiply the first terms of each binomial: a * a =**a^2****Outer:**Multiply the outer terms of the binomials: a * -6 =**-6a****Inner:**Multiply the inner terms of the binomials: -6 * a =**-6a****Last:**Multiply the last terms of each binomial: -6 * -6 =**36**

Now, add all the terms together: a^2 - 6a - 6a + 36

Combine like terms:
**a^2 - 12a + 36**

### Using the Square of a Binomial Formula

The square of a binomial formula states: (x - y)^2 = x^2 - 2xy + y^2

Applying this to our expression: (a - 6)^2 = a^2 - 2(a)(6) + 6^2

Simplifying:
**a^2 - 12a + 36**

### Conclusion

Both methods arrive at the same answer: **(a - 6)^2 = a^2 - 12a + 36**. You can choose the method you find easiest to understand and apply.