Simplify using the horizontal method. (2n2 + 4n + 4)(4n - 5)

Solution:

Given expression is

(2n² + 4n + 4)(4n - 5)

Use the distributive property and simplify the expression using the horizontal method.

= 2n²( 4n -5) + 4n(4n - 5)+ 4(4n - 5)

=8n³ - 10n² + 16n² - 20n+ 16n -20

=8n³ + 6n² - 4n -20

Simplify using the horizontal method. (2n² + 4n + 4)(4n - 5)

Summary:

Simplifying using the horizontal method (2n² + 4n + 4)(4n - 5) we get 8n³ + 6n² - 4n -20.