Question

evaluate the expression when $b = -3$.
$b^2 + 8b - 7$

Explanation:

Step1: Substitute \( b = -3 \) into the expression

Substitute \( b = -3 \) into \( b^2 + 8b - 7 \), we get \( (-3)^2 + 8\times(-3) - 7 \).

Step2: Calculate each term

First, calculate \( (-3)^2 = 9 \), \( 8\times(-3) = -24 \).

Step3: Combine the terms

Now, combine the results: \( 9 + (-24) - 7 = 9 - 24 - 7 \).

Step4: Perform the arithmetic operations

Calculate \( 9 - 24 = -15 \), then \( -15 - 7 = -22 \).

Answer:

\( -22 \)