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Expand [tex]$4(2x - 4)$[/tex].

Sagot :

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].
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