Math

QuestionEvaluate the expression 2xyz2 x y z using the given values x=4,y=1x=-4, y=-1, and z=2z=2.

Studdy Solution

STEP 1

Assumptions
1. The values of the variables are given as x=4x=-4, y=1y=-1, and z=2z=2.
2. The expression to evaluate is 2xyz2xyz.

STEP 2

First, we will substitute the given values of xx, yy, and zz into the expression 2xyz2xyz.
2xyz=2(4)(1)22xyz = 2 \cdot (-4) \cdot (-1) \cdot 2

STEP 3

Next, we will perform the multiplication of the constants and variables.
2xyz=2(4)(1)2=8(1)22xyz = 2 \cdot (-4) \cdot (-1) \cdot 2 = -8 \cdot (-1) \cdot 2

STEP 4

Now, we will multiply the remaining numbers.
2xyz=8(1)2=822xyz = -8 \cdot (-1) \cdot 2 = 8 \cdot 2

STEP 5

Finally, we will calculate the product to find the value of the expression.
2xyz=82=162xyz = 8 \cdot 2 = 16
The value of the expression 2xyz2xyz when x=4x=-4, y=1y=-1, and z=2z=2 is 1616.

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