Question

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

Answer 1

6x^3 - 24x^2 + 6x + 36

Answer 2

`6x^3-24x^2+6x+36`

Explanation:

`(2x - 6)(3x^2 - 3x - 6)`

Multiply 2x-6 inside the second parenthesis

First multiply 2x inside second parenthesis'

`2x(3x^2-3x-6)= 6x^3 -6x^2-12x`

`-6(3x^2-3x-6)= -18x^2+18x+36`

Now we combine all the terms

`6x^3 -6x^2-12x-18x^2+18x+36`

Combine like terms

`6x^3-24x^2+6x+36`