Alright, let's expand the expression [tex]\( 4(2x - 4) \)[/tex] into its simplest form by following these steps:
1. Identify the terms inside the parenthesis: We have [tex]\( 2x \)[/tex] and [tex]\(-4\)[/tex].
2. Distribute the term outside the parenthesis: The number 4 outside the parenthesis needs to be multiplied by each term inside the parenthesis.
3. Multiply each term inside the parenthesis by 4:
- Multiply [tex]\( 4 \)[/tex] by [tex]\( 2x \)[/tex]:
[tex]\[
4 \cdot 2x = 8x
\][/tex]
- Multiply [tex]\( 4 \)[/tex] by [tex]\(-4\)[/tex]:
[tex]\[
4 \cdot (-4) = -16
\][/tex]
4. Combine the results:
Thus, distributing the 4 to both terms inside the parenthesis, the expanded form of the expression is:
[tex]\[
8x - 16
\][/tex]
So, the expanded form of [tex]\( 4(2x - 4) \)[/tex] is [tex]\( 8x - 16 \)[/tex].
