Simplify the expression (8x - 5)(2x² - 5x - 6).

Solution:

Given, the expression is (8x - 5)(2x² - 5x - 6)

We have to simplify the expression.

By multiplicative and distributive property,

(8x - 5)(2x² - 5x - 6)

= (8x × 2x²) + (8x ×- 5x)+ (8x ×- 6) -[(5×2x²) +(5×- 5x)+ 5 × -6)]

= 16x³ - 40x² - 48x - [10x² - 25x - 30]

= 16x³ - 40x² - 48x - 10x² + 25x + 30

By grouping the like terms,

= 16x³ - 40x² - 10x² - 48x + 25x + 30

= 16x³ - 50x² - 23x + 30

Therefore, the simplified expression is 16x³ - 50x² - 23x + 30.

Simplify the expression (8x - 5)(2x² - 5x - 6).

Summary:

The simplified form of the expression (8x - 5)(2x² - 5x - 6) is 16x³ - 50x² - 23x + 30.