https://file.aiquickdraw.com/mathbot/file/1729463470538wd7fc1nv.jpg

The expression given is \( b^2 - 8b + 4 \), and we are asked to evaluate it when \( b = 3 \).

Let's go through the steps:

1. Substitute \( b = 3 \) into the expression:

\[
b^2 - 8b + 4 = (3)^2 - 8(3) + 4
\]

2. Now calculate each part:
   - \( 3^2 = 9 \)
   - \( 8 \times 3 = 24 \)

So, the expression becomes:

\[
9 - 24 + 4
\]

3. Simplify step by step:

\[
9 - 24 = -15
\]
\[
-15 + 4 = -11
\]

Thus, the value of the expression when \( b = 3 \) is **-11**.

Would you like more details or have any questions?

Here are five related questions:
1. How do you evaluate other quadratic expressions?
2. Can you factor quadratic expressions like \( b^2 - 8b + 4 \)?
3. How do changes in the coefficients of a quadratic expression affect its graph?
4. What is the significance of the discriminant in quadratic equations?
5. How do you solve quadratic equations using the quadratic formula?

**Tip:** Always substitute carefully and follow the order of operations when simplifying expressions!

Evaluate the expression b^2 - 8b + 4 when b = 3.

Learn how to evaluate the quadratic expression b^2 - 8b + 4 when b = 3. This problem is ideal for students in Grades 7-9 and reinforces algebraic concepts like substitution and simplifying expressions.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation