What is the product of (3a + 2)(4a² - 2a + 9)?

Solution:

Given multiplication of polynomials using distributive property.

(3a + 2)(4a² - 2a + 9)

Using the product rule, we get

3a(4a²) - 3a(2a) + 3a(9) + 2(4a²) - 2(2a) + 2(9)

12a³ - 6a² + 27a + 8a² - 4a + 18

12a³ + 2a² + 23a + 18

The simplified expression is 12a³ + 2a² + 23a + 18.

What is the product of (3a + 2)(4a² - 2a + 9)?

Summary:

The product of (3a + 2)(4a² - 2a + 9) is 12a³ + 2a² + 23a + 18.