What is the correct simplification of
3(4x + 6)?
Responses
30x
30x
18x
18x
12x + 6
12x + 6
12x + 18
The correct simplification of 3(4x + 6) is 12x + 18.
To simplify 3(4x + 6), you can distribute the 3 to both terms inside the parentheses.
3 * 4x = 12x
3 * 6 = 18
So the correct simplification is 12x + 18.
To simplify an expression, you need to apply the distributive property. This property allows you to multiply a number outside of parentheses by each term inside the parentheses.
In this case, you can simplify the expression 3(4x + 6) as follows:
1. Multiply 3 by each term inside the parentheses:
3 * 4x = 12x
3 * 6 = 18
2. The simplified expression is the sum of these products:
12x + 18
Therefore, the correct simplification of 3(4x + 6) is 12x + 18.