Find the product of (3x - 2) and (6x + 1)

18x² - 9x - 2

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

3x (6x + 1) - 2 (6x + 1) ← distribute both parenthesis

= 18x² + 3x - 12x - 2 ← collect like terms

= 18x² - 9x - 2

Use foil (first, outer, inner, last)

First terms: 3x * 6x = 18x²

Outer terms: 3x * 1 = 3x

Inner terms: - 2 * 6x = - 12x

Last terms: - 2 * 1 = - 2

Put all that together to get 18x² + 3x - 12x - 2

3x and - 12x can be combined because they're like terms; 3x - 12x = - 9x

So the final product is 18x² - 9x - 2