To evaluate the expression \( b^2 - 4b \) when \( b = -5 \), let's substitute \( b = -5 \) into the expression:

\[
b^2 - 4b = (-5)^2 - 4(-5)
\]

1. First, calculate \( (-5)^2 \):
\[
(-5)^2 = 25
\]

2. Now, calculate \( -4(-5) \):
\[
-4(-5) = 20
\]

3. Add the results:
\[
25 + 20 = 45
\]

So, \( b^2 - 4b = 45 \) when \( b = -5 \).

Would you like further details on this?

Here are some related questions:
1. What happens to the expression if \( b \) is a positive value?
2. Can you graph the quadratic expression \( b^2 - 4b \)?
3. What is the factorized form of the quadratic expression \( b^2 - 4b \)?
4. What is the vertex of the parabola represented by \( b^2 - 4b \)?
5. How would the result change if we added a constant to the expression?

**Tip:** Always simplify individual terms before adding or subtracting them for accuracy.

Learn how to evaluate the quadratic expression b^2 - 4b when b = -5 with a detailed step-by-step solution. This algebra problem is suitable for students in Grades 7-9, covering quadratic expression simplification and evaluation.

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