Question Multiply the expression $\frac{1}{2}(4 y+4 x-8 z)$ and simplify the result.

Studdy Solution

STEP 1

Assumptions
1. We are given the expression $\frac{1}{2}(4y + 4x - 8z)$ .
2. We need to multiply the expression inside the parentheses by $\frac{1}{2}$ .
3. Simplify the result if possible.

STEP 2

Distribute the fraction $\frac{1}{2}$ across the terms inside the parentheses.
$\frac{1}{2} \cdot 4y + \frac{1}{2} \cdot 4x - \frac{1}{2} \cdot 8z$

STEP 3

Multiply each term by $\frac{1}{2}$ .
$2y + 2x - 4z$

STEP 4

The expression is now simplified, as there are no like terms to combine and no further simplification is possible.
The simplified result is $2y + 2x - 4z$ .

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