## Simplifying the Expression: (x+9)(x-2)-9x-6

This article will guide you through simplifying the expression **(x+9)(x-2)-9x-6**. We will use the distributive property and combining like terms to achieve a simplified form.

### Step 1: Expand the product of the binomials

First, we need to expand the product of the two binomials using the **distributive property**:

(x+9)(x-2) = x(x-2) + 9(x-2)

Expanding further:

x(x-2) + 9(x-2) = x² - 2x + 9x - 18

Simplifying the terms:

x² - 2x + 9x - 18 = x² + 7x - 18

### Step 2: Combine like terms

Now, our expression becomes:

x² + 7x - 18 - 9x - 6

Combining the **x** terms and the constant terms:

x² + (7x - 9x) + (-18 - 6)

Simplifying:

x² - 2x - 24

### Final Answer

Therefore, the simplified form of the expression (x+9)(x-2)-9x-6 is **x² - 2x - 24**.