Question

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

Answer 1

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

Answer 2

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, $6x^3-24x^2+9x+30$