## Understanding (a - 6)^2

The expression (a - 6)^2 represents the square of the binomial (a - 6). To understand this, let's break it down step by step.

### What is a binomial?

A binomial is a polynomial with two terms. In this case, our binomial is (a - 6).

### What does squaring mean?

Squaring a number or expression means multiplying it by itself. So, (a - 6)^2 is the same as (a - 6) * (a - 6).

### Expanding the expression

To expand (a - 6)^2, we can use the distributive property (also known as FOIL):

**F**irst: a * a = a^2
**O**uter: a * -6 = -6a
**I**nner: -6 * a = -6a
**L**ast: -6 * -6 = 36

Now, we add all these terms together:

a^2 - 6a - 6a + 36

### Simplifying the result

Combining the like terms, we get:

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

### Conclusion

Therefore, the expanded form of (a - 6)^2 is a^2 - 12a + 36. This is a common algebraic expression that can be used in various mathematical problems.