Choose the correct simplification of the expression (3x − 6)(2x2 − 4x − 5).

6x3 − 24x2 + 9x − 30
6x3 + 9x + 30
6x3 − 24x2 + 9x + 30
6x3 − 24x2 + 39x + 30

The correct option is C.  6x³ - 24x² + 9x + 30

Step-by-step explanation:

The equation which is to be simplified :

(3x − 6)(2x² − 4x − 5)

Now, to simplify using the distributive law of multiplication over addition

⇒ 3x(2x² − 4x − 5) - 6(2x² − 4x − 5)

Again, By distributive law, we have :

⇒ 6x³ - 12x² - 15x - 12x² + 24x + 30

⇒ 6x³ - 12x²  - 12x² - 15x + 24x + 30

⇒ 6x³ - 24x² + 9x + 30

Hence, The correct option is C.  6x³ - 24x² + 9x + 30