Complete the table below:
Problem / distributive property / simplified expression
1 b. (3 (2x-4) - simplified expression
The distributive property allows us to distribute the 3 to both terms inside the parentheses:
3(2x-4) = 6x - 12
So, the simplified expression is 6x - 12.
To simplify the expression 3(2x-4) using the distributive property, we need to distribute the 3 to both terms inside the parentheses.
First, multiply 3 by 2x:
3 * 2x = 6x
Next, multiply 3 by -4:
3 * -4 = -12
So, the simplified expression is:
6x - 12
To simplify the expression `(3(2x-4))`, we can use the distributive property. The distributive property states that when you multiply a number outside of parentheses with each term inside the parentheses, you can distribute the multiplication to each term.
So, to simplify `(3(2x-4))`, we will multiply `3` with each term inside the parentheses:
`(3 * 2x) - (3 * 4)`
which becomes
`6x - 12`.
Therefore, the simplified expression `3(2x-4)` is `6x - 12`.
The completed table is as follows:
Problem | Distributive Property | Simplified Expression
--------------------------|-----------------------|-----------------------
1 b. (3(2x-4)) | 3 * 2x - 3 * 4 | 6x - 12