Question

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

Answer 1

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

Answer 2

Option 3rd is correct

`6x^3-24x^2+9x+30`

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`