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The given problem asks to evaluate the quadratic expression \( m^2 - 8m + 5 \) when \( m = 6 \).

Let's substitute \( m = 6 \) into the expression and calculate the result:

\[
m^2 - 8m + 5
\]

Substituting \( m = 6 \):

\[
6^2 - 8(6) + 5 = 36 - 48 + 5
\]

Now simplify:

\[
36 - 48 = -12
\]

\[
-12 + 5 = -7
\]

So, the value of the expression when \( m = 6 \) is \( -7 \).

Would you like more details or have any questions about the steps?

Here are some related questions:
1. What is the general form of a quadratic expression?
2. How would the answer change if \( m = -6 \)?
3. How do you factorize the expression \( m^2 - 8m + 5 \)?
4. What are the roots of the equation \( m^2 - 8m + 5 = 0 \)?
5. How can you graph the quadratic function \( y = m^2 - 8m + 5 \)?

**Tip:** When substituting values into an expression, double-check each step to ensure accurate arithmetic.

Evaluate the expression when m = 6 for m^2 - 8m + 5.

Learn how to evaluate the quadratic expression m^2 - 8m + 5 for m = 6 with detailed steps and explanations. This problem covers key algebraic concepts like substitution and quadratic expressions, suitable for students in Grades 8-9.

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