Questions: Evaluate the expression for the given value of the variable(s). -x^2-4x-4: x=-3

Evaluate the expression for the given value of the variable(s). -x^2-4x-4: x=-3
Transcript text: Evaluate the expression for the given value of the variable(s). $-x^{2}-4 x-4: x=-3$
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Solution

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Solution Steps

Step 1: Substitute the value of \( x \) into the expression

Substitute \( x = -3 \) into the expression \( -x^{2} - 4x - 4 \): \[ -(-3)^{2} - 4(-3) - 4 \]

Step 2: Calculate the exponent

Calculate \( (-3)^{2} \): \[ -(-3)^{2} = -9 \]

Step 3: Multiply and simplify

Multiply \( -4 \) by \( -3 \): \[ -4(-3) = 12 \]

Step 4: Combine the terms

Combine all the terms: \[ -9 + 12 - 4 = -1 \]

The final result is \( -1 \).

Final Answer

\(\boxed{-1}\)

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