Questions: Evaluate the following algebraic expression at x=0, y=0, z=3 and simplify your answer. (x+y)^2-9 z

Transcript text: Evaluate the following algebraic expression at $x=0, y=0, z=3$ and simplify your answer. \[ (x+y)^{2}-9 z \]

Solution

Solution Steps

To evaluate the given algebraic expression at the specified values of $x$, $y$, and $z$, substitute $x = 0$, $y = 0$, and $z = 3$ into the expression $(x+y)^{2}-9z$. Then, simplify the resulting expression by performing the arithmetic operations.

Step 1: Substitute Values

We start by substituting the given values into the expression $(x+y)^{2}-9z$: \[ x = 0, \quad y = 0, \quad z = 3 \] This gives us: \[ (0 + 0)^{2} - 9 \cdot 3 \]

Step 2: Simplify the Expression

Next, we simplify the expression: \[ (0)^{2} - 27 \] Calculating $0^{2}$ results in $0$, so we have: \[ 0 - 27 \]

Step 3: Final Calculation

Finally, we perform the subtraction: \[ 0 - 27 = -27 \]