Which two statements are correct when simplifying this expression?
12 + 6(3x − 2)
Responses
Responses
A First, calculate 6(3x − 2)
B first calculate 12+6
C. 12+6(3x-2)=54x-36
D. 12+6(3x-2)=18x
E. 12+6(3x-2)=18x-24
C. 12 + 6(3x-2) = 54x - 36
E. 12 + 6(3x-2) = 18x - 24
To simplify the expression 12 + 6(3x - 2), we first need to apply the distributive property, which states that multiplying a number by a sum of two or more terms is the same as multiplying the number by each term and adding the results.
In this case, we have 6 multiplied by the sum (3x - 2), so we can distribute the 6 to both terms inside the parentheses:
6(3x - 2) = 6 * 3x - 6 * 2 = 18x - 12
Now we can simplify the expression by combining like terms:
12 + 18x - 12 = 18x
So, the two correct statements when simplifying this expression are:
B. first calculate 12 + 6
D. 12 + 6(3x - 2) = 18x
The correct statements when simplifying the expression 12 + 6(3x − 2) are:
A. First, calculate 6(3x − 2)
E. 12 + 6(3x-2) = 18x - 24