Questions: When substituting must be used around negative numbers.

Transcript text: When substituting $\qquad$ must be used around negative numbers.

Solution

Solution Steps

Solution Approach

When substituting values into an expression, parentheses must be used around negative numbers to ensure the correct order of operations and to avoid any ambiguity in the calculations.

Step 1: Define the Expression

We start with the expression $ x^2 - 4x + 4 $.

Step 2: Substitute $ x = -3 $

We substitute $ x = -3 $ into the expression: \[ (-3)^2 - 4(-3) + 4 \]

Step 3: Simplify the Expression

First, calculate $ (-3)^2 $: \[ (-3)^2 = 9 \]

Next, calculate $ -4(-3) $: \[ -4(-3) = 12 \]

Finally, add the constants: \[ 9 + 12 + 4 = 25 \]

Final Answer

$\boxed{25}$

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