(-3y+2)(y+3)
Here are the answer choices:
A. -3y^2 - 7y + 6
B. 3y^2 - 11y + 6
C. 3y^2 - 7y - 6
D. 3y^2 + 11y + 6
I don't suppose this will be easy.
Looks like you have to use the FOIL method to arrive at one of the answers.
( - 3 y + 2 ) ∙ ( y + 3 ) =
- 3 y ∙ ( y + 3 ) + 2 ∙ ( y + 3 ) =
- 3 y ∙ y - 3 y ∙ 3 + 2 ∙ y + 2 ∙ 3 =
- 3 y² - 9 y + 2 y + 6 =
- 3 y² - 7 y + 6
Answer A.
-3y^2 - 7y + 6
To find the product of two binomials, such as (-3y + 2) and (y + 3), you can use the distributive property. This property states that you need to multiply each term from the first binomial by each term from the second binomial, and then combine like terms if possible.
1. Multiply the terms in the first binomial, (-3y + 2), with the terms in the second binomial, (y + 3):
-3y * y = -3y^2
-3y * 3 = -9y
2 * y = 2y
2 * 3 = 6
2. Combine the like terms obtained in step one:
-3y^2 - 9y + 2y + 6
3. Simplify the combined expression by adding or subtracting the like terms:
-3y^2 - 7y + 6
Therefore, the product of (-3y + 2) and (y + 3) is -3y^2 - 7y + 6.