Questions: Evaluate x^3 - y^2 + z for x=3, y=-10, and z=1

Evaluate x^3 - y^2 + z for x=3, y=-10, and z=1
Transcript text: Evaluate $x^{3}-y^{2}+z$ for $x=3, y=-10$, and $z=1$
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Solution

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Solution Steps

To evaluate the expression \(x^3 - y^2 + z\) for given values of \(x\), \(y\), and \(z\), substitute the values into the expression and perform the arithmetic operations. Specifically, calculate \(x^3\), \(y^2\), and then combine these results with \(z\) according to the expression.

Step 1: Substitute the Given Values

Substitute \(x = 3\), \(y = -10\), and \(z = 1\) into the expression \(x^3 - y^2 + z\).

Step 2: Calculate \(x^3\)

Calculate \(3^3\): \[ 3^3 = 27 \]

Step 3: Calculate \(y^2\)

Calculate \((-10)^2\): \[ (-10)^2 = 100 \]

Step 4: Evaluate the Expression

Substitute the calculated values into the expression: \[ x^3 - y^2 + z = 27 - 100 + 1 \]

Step 5: Simplify the Expression

Simplify the expression: \[ 27 - 100 + 1 = -72 \]

Final Answer

The evaluated expression is \(\boxed{-72}\).

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