Multiply the following polynomials.
(2y – 3) (3y – 2)
A. 6y2 – 13y + 6
B. 6y2 – 13y – 6
C. 6y2 + 13y – 6
D. 6y2 + 13y + 6
The answer is A. 6y^2 - 13y + 6.
To multiply these polynomials, you can use the FOIL method:
(2y - 3)(3y - 2) = 6y^2 - 4y - 9y + 6
Simplifying, we get:
6y^2 - 13y + 6
To multiply the given polynomials (2y – 3) and (3y – 2), we can use the distributive property. We multiply every term in the first polynomial by every term in the second polynomial and combine like terms.
Let's break down the process step by step:
Step 1: Multiply the first term of the first polynomial with each term of the second polynomial:
(2y) * (3y) = 6y^2
(2y) * (-2) = -4y
Step 2: Multiply the second term of the first polynomial with each term of the second polynomial:
(-3) * (3y) = -9y
(-3) * (-2) = 6
Step 3: Combine the like terms from Step 1 and Step 2:
6y^2 - 4y - 9y + 6
Step 4: Simplify the expression by combining like terms:
6y^2 - 13y + 6
Therefore, the correct answer is option A. 6y^2 – 13y + 6.
To multiply the given polynomials (2y - 3) and (3y - 2), we will use the distributive property.
First, multiply the terms in the first polynomial by each term in the second polynomial:
(2y) * (3y) = 6y^2
(2y) * (-2) = -4y
(-3) * (3y) = -9y
(-3) * (-2) = 6
Then, combine like terms:
6y^2 - 4y - 9y + 6
Simplifying further:
6y^2 - 13y + 6
Therefore, the correct answer is option A: 6y^2 - 13y + 6.