Verified Answer :

The answer is C:  6x^3 - 24x^2 + 9x + 30

Answer:

Option 3rd is correct

\(6x^3-24x^2+9x+30\)

Step-by-step explanation:

Given the expression:

\((3x-6)(2x^2-4x-5)\)

Multiply the first term of the first expression with second expression and second term of the first expression with second expression we have;

\(3x(2x^2-4x-5)-6(2x^2-4x-5)\)

using distributive property we have;

\(6x^3-12x^2-15x-12x^2+24x+30\)

Combine like terms we have;

\(6x^3-24x^2+9x+30\)

therefore,  the correct simplification of the given expression is, \(6x^3-24x^2+9x+30\)