Simplify the expression (3x - 6)(2x² - 4x - 5).

Solution:

Given, the expression is (3x - 6)(2x² − 4x − 5)

We have to simplify the expression.

By multiplicative and distributive property,

(3x - 6)(2x² - 4x - 5)

= 6x³ - 12x² - 15x - 12x² + 24x + 30

By grouping,

= 6x³ - 12x² - 12x² - 15x + 24x + 30

= 6x³ - 24x² + 9x + 30

Therefore, the simplified expression is 6x³ - 24x² + 9x + 30.

Simplify the expression (3x - 6)(2x² - 4x - 5).

Summary:

The simplified form of the expression (3x - 6)(2x² - 4x - 5) is 6x³ - 24x² + 9x + 30.