Question

(2x² + 6x + 6) (3x - 2)

Answer 1

6x³ + 14x² + 6x - 12

Explanation:

(3x - 2)(2x² + 6x + 6)

6x³ - 4x² + 18x² - 12x + 18x - 12

6x³ + 14x² + 6x - 12

Answer 2

Answer: 6x³+14x²+6x-12

Explanation:

Here, we can use the distributive property to multiply one of the factors by each term in the other. Below, I multiplied
`2x^2 + 6x + 6` by both 3x and -2.

`(2x^2+ 6x + 6) (3x - 2)\\3x(2x^2+ 6x + 6)-2(2x^2+ 6x + 6)\\6x^3+18x^2+18x-4x^2-12x-12`

Now, we can rearrange so that like terms are next to each other. Then, we can combine them to simplify.

`6x^3+18x^2+18x-4x^2-12x-12\\6x^3+18x^2-4x^2+18x-12x-12\\6x^3+14x^2+6x-12`