multiply (3a + 2c)(9a² - 6ac + 4c²)
To multiply the expressions (3a + 2c)(9a² - 6ac + 4c²), we can use the distributive property and multiply each term in the first expression by each term in the second expression.
First, we multiply the first term in the first expression by each term in the second expression:
(3a) * (9a² - 6ac + 4c²) = 27a³ - 18a²c + 12ac²
Next, we multiply the second term in the first expression by each term in the second expression:
(2c) * (9a² - 6ac + 4c²) = 18ac² - 12ac² + 8c³
Combining the results, we have:
27a³ - 18a²c + 12ac² + 18ac² - 12ac² + 8c³
Simplifying further:
27a³ + 8c³