(x+4)(x^2+3x-6)

2 min read Jun 16, 2024

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.