Multiply the following polynomials.
8. (2y - 3) (3y - 2) (1 point)
6y^2 - 13y + 6
6y^2 - 13y - 6
6y^2 + 13y - 6
6y^2 + 13y + 6
6y^2 - 13y + 6
To multiply the given polynomials (2y - 3) and (3y - 2), we will use the distributive property.
First, we multiply the first terms of each polynomial:
(2y)(3y) = 6y^2
Next, we multiply the outer terms:
(2y)(-2) = -4y
Then, we multiply the inner terms:
(-3)(3y) = -9y
Finally, we multiply the last terms of each polynomial:
(-3)(-2) = 6
Now, let's combine these terms:
6y^2 - 4y - 9y + 6
Simplifying further, we have:
6y^2 - 13y + 6
Therefore, the correct answer is 6y^2 - 13y + 6.