What is the product of (2p + 7)(3p² + 4p - 3)?

Solution:

Given (2p + 7)(3p² + 4p - 3)

Here it is multiplication of polynomials using distributive property.

2p(3p²) + 2p(4p) + 2p(-3) + 7(3p²) + 7(4p) + 7(-3)

6p³ + 8p² - 6p + 21p² + 28p - 21

6p³ + 29p² + 22p - 21

The simplified expression is 6p³ + 29p² + 22p - 21

What is the product of (2p + 7)(3p² + 4p - 3)?

Summary:

The product of (2p + 7)(3p² + 4p - 3) is 6p³ + 29p² + 22p - 21.