What is the correct simplification of
3(4x + 6)?
Responses
12x + 6
12x + 6
12x + 18
12x + 18
30x
30x
18x
12x + 18
The correct simplification of 3(4x + 6) is 12x + 18.
To simplify the expression 3(4x + 6), you need to distribute the 3 to each term inside the parentheses.
The distributive property states that if you have a number multiplied by the sum of two terms in parentheses, you can distribute that number to each term inside the parentheses.
In this case, the 3 needs to be multiplied by both 4x and 6.
So, 3(4x + 6) becomes 3 * 4x + 3 * 6.
Multiplying, we get 12x + 18.
Therefore, the correct simplification of 3(4x + 6) is 12x + 18.