Question

Select the correct product. (x2 + 6x + 9)(3x - 1) 3x3 + 17x2 + 21x - 9 3x3 - 17x2 - 21x - 9 3x3+ 19x2 + 27x + 9 3x3+ 19x2 + 9x - 9

Answer 1

3x^3 + 17x^2 + 21x - 9

this is the correct answer for this problem.

Answer 2

3x^3 + 17x^2 + 21x - 9

Explanation:

`(x^2 + 6x + 9)(3x - 1)`

Multiply each term in first parenthesis with 3x-1

x^2 times 3x-1 becomes 3x^3 -x^2

6x times 3x-1 becomes 18x^2 -6x

9 times 3x-1 becomes 27x -9

Now we combine like terms

3x^3 -x^2 + 18x^2 -6x + 27x - 9

3x^3 +17x^2 +21x -9