171k views
1 vote
Evaluate the expression (x+3)(3x^2-4x-5) ?

User Igal S
by
5.8k points

1 Answer

4 votes

Answer:

3x³ + 5x² - 17x - 15

Explanation:

Here are the steps for solving your problem:

1. Distribute

(x + 3)(3x² - 4x - 5)

x(3x² - 4x - 5) + 3(3x² - 4x - 5)

2. Distribute

x(3x² - 4x - 5) + 3 (3x² - 4x - 5)

3x³ - 4x² - 5x + 3 (3x² -4x - 5)

3. Distribute

3x³ - 4x² - 5x + 3 (3x² -4x - 5)

3x³ - 4x² -5x + 9x² - 12x - 15

4. Combine like terms

3x³ - 4x² -5x + 9x² - 12x - 15

3x³ + 5x² - 5x - 12x - 15

5. Combine like terms

3x³ + 5x² - 5x - 12x - 15

3x³ + 5x² - 17x - 15

Solution:

3x³ + 5x² - 17x - 15

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

User Aaron Newton
by
4.8k points