Simplify the expression
(3k + 2)(k - 3)
A. 3k^2 - 7k - 5
B. 3k^2 - 7k - 6
C 3k^2 - 4K - 6
D 3k^2 - 4K - 5
My answer is either C or D
i think its d but im not 100 percent sure
To simplify the expression (3k + 2)(k - 3), we can use the distributive property of multiplication over addition. This property states that for any real numbers a, b, and c, the product of a and the sum of b and c is equal to the sum of the product of a and b, and the product of a and c.
So, applying the distributive property, we can multiply each term in the first parentheses (3k + 2) by each term in the second parentheses (k - 3):
(3k + 2)(k - 3) = 3k(k) + 3k(-3) + 2(k) + 2(-3)
Now, let's simplify this expression step by step:
= 3k^2 - 9k + 2k - 6
Next, we can combine like terms:
= 3k^2 - 7k - 6
So, the simplified expression is 3k^2 - 7k - 6.
The correct answer is option B: 3k^2 - 7k - 6.