Questions: 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 $z=1$

Solution

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: \[ 27 - 100 + 1 = -72 \]