Use the distributive property to expand the linear expression.
3(4x + 3)
Responses
12x + 9
To expand the linear expression 3(4x + 3) using the distributive property, you need to multiply each term inside the parentheses by the number outside the parentheses, which in this case is 3.
First, distribute the 3 to the first term inside the parentheses:
3 * 4x = 12x
Next, distribute the 3 to the second term inside the parentheses:
3 * 3 = 9
So, expanding the linear expression 3(4x + 3) using the distributive property results in:
12x + 9
To use the distributive property to expand the linear expression 3(4x + 3), we need to distribute the 3 to each term inside the parentheses.
To do this, we multiply 3 by 4x and 3 individually, and then add the results together.
First, we multiply 3 by 4x:
3 * 4x = 12x
Next, we multiply 3 by 3:
3 * 3 = 9
Now, we add the two terms together:
12x + 9
Therefore, the expanded form of the linear expression 3(4x + 3) is 12x + 9.