114k views
3 votes
(2x² + 6x + 6) (3x - 2)

User Jan Soltis
by
6.4k points

2 Answers

5 votes

Answer:

6x³ + 14x² + 6x - 12

Explanation:

(3x - 2)(2x² + 6x + 6)

6x³ - 4x² + 18x² - 12x + 18x - 12

6x³ + 14x² + 6x - 12

User Grizzley
by
7.7k points
3 votes

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

User Race B
by
7.0k points
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