## Factoring and Simplifying (x+3)^2 - 9

The expression (x+3)^2 - 9 might look intimidating at first, but it's actually quite simple to simplify and factor. Here's a step-by-step guide:

### Expanding the Expression

First, let's expand the square:

(x+3)^2 = (x+3)(x+3) = x^2 + 3x + 3x + 9 = x^2 + 6x + 9

Now, substitute this back into the original expression:

(x+3)^2 - 9 = x^2 + 6x + 9 - 9

### Simplifying the Expression

The 9 and -9 cancel each other out, leaving us with:

x^2 + 6x

### Factoring the Expression

We can now factor out a common factor of x:

**x^2 + 6x = x(x + 6)**

### Summary

Therefore, we have simplified and factored the expression (x+3)^2 - 9 to **x(x+6)**.

This process showcases how we can use algebraic manipulations to simplify and factor complex expressions, making them easier to work with in various mathematical contexts.