QuestionAugust 25, 2025

Evaluate 6z^2 when z=2 and when z=-2

Evaluate 6z^2 when z=2 and when z=-2
Evaluate 6z^2 when z=2 and when z=-2

Solution
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Answer

When z=2, the value is 24; when z=-2, the value is also 24. Explanation 1. Substitute z=2 into the expression Replace z with 2 in the expression 6z^2: \[ 6(2)^2 = 6 \times 4 = 24 \] 2. Calculate for z=2 Compute the result of the substitution: The value is 24. 3. Substitute z=-2 into the expression Replace z with -2 in the expression 6z^2: \[ 6(-2)^2 = 6 \times 4 = 24 \] 4. Calculate for z=-2 Compute the result of the substitution: The value is 24.

Explanation

1. Substitute $z=2$ into the expression<br /> Replace $z$ with 2 in the expression $6z^2$: <br />\[<br />6(2)^2 = 6 \times 4 = 24<br />\]<br />2. Calculate for $z=2$<br /> Compute the result of the substitution:<br />The value is 24.<br /><br />3. Substitute $z=-2$ into the expression<br /> Replace $z$ with -2 in the expression $6z^2$: <br />\[<br />6(-2)^2 = 6 \times 4 = 24<br />\]<br />4. Calculate for $z=-2$<br /> Compute the result of the substitution:<br />The value is 24.
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