## Expanding the Expression (x + 4)(x² + 3x - 6)

This article will guide you through the process of expanding the expression (x + 4)(x² + 3x - 6). We'll use the **distributive property** to multiply each term in the first set of parentheses by each term in the second set of parentheses.

### Step 1: Distribute the 'x' term

First, we distribute the 'x' term from the first set of parentheses:

- x * (x² + 3x - 6) =
**x³ + 3x² - 6x**

### Step 2: Distribute the '4' term

Next, we distribute the '4' term from the first set of parentheses:

- 4 * (x² + 3x - 6) =
**4x² + 12x - 24**

### Step 3: Combine the results

Now we combine the results from steps 1 and 2:

- (x + 4)(x² + 3x - 6) = x³ + 3x² - 6x + 4x² + 12x - 24

### Step 4: Simplify by combining like terms

Finally, we simplify the expression by combining like terms:

**x³ + 7x² + 6x - 24**

### Conclusion

Therefore, the expanded form of the expression (x + 4)(x² + 3x - 6) is **x³ + 7x² + 6x - 24**.