Questions: Evaluate the expression when m=-7. m^2 + 4m - 1

Evaluate the expression when m=-7. m^2 + 4m - 1
Transcript text: Evaluate the expression when $m=-7$. \[ m^{2}+4 m-1 \]
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Solution

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Solution Steps

To evaluate the expression \( m^2 + 4m - 1 \) when \( m = -7 \), substitute \(-7\) for \( m \) in the expression and compute the result.

Step 1: Substitute \( m = -7 \) into the Expression

To evaluate the expression \( m^2 + 4m - 1 \) for \( m = -7 \), substitute \(-7\) for \( m \).

Step 2: Calculate Each Term
  1. Calculate \( m^2 \): \[ (-7)^2 = 49 \]
  2. Calculate \( 4m \): \[ 4 \times (-7) = -28 \]
Step 3: Combine the Results

Substitute the calculated values back into the expression: \[ 49 + (-28) - 1 = 49 - 28 - 1 \]

Step 4: Simplify the Expression

Simplify the expression: \[ 49 - 28 - 1 = 20 \]

Final Answer

The value of the expression when \( m = -7 \) is \(\boxed{20}\).

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