Simplify using the horizontal method. (2n² + 4n + 3)(2n - 3)

Solution:

Using the horizontal method we multiply the polynomials as:

(2n² + 4n + 3)(2n - 3)

= (2n²)(2n - 3) + (4n)(2n - 3) + (3)(2n - 3)

= (2n²)(2n) - (2n²)(3) + (4n)(2n) - (4n)(3) + (3)(2n) - (3)(3)

= 4n³ - 6n² + 8n² - 12n + 6n - 9

= 4n³ + 2n² - 12n + 6n - 9

= 4n³ + 2n² - 6n - 9

Simplify using the horizontal method. (2n² + 4n + 3)(2n - 3)

Summary:

By simplify using the horizontal method we have (2n² + 4n + 3)(2n - 3) as 4n³ + 2n² - 6n - 9