https://file.aiquickdraw.com/mathbot/file/1725465360461wckakr3v.jpg

The expression provided is:

\[
(-9)^2 - (-8 + 1) \times (-6)
\]

Let's break down the calculation step by step:

1. **Evaluate the exponentiation**:
   \[
   (-9)^2 = 81
   \]

2. **Simplify inside the parentheses**:
   \[
   -8 + 1 = -7
   \]

3. **Multiply the result by \(-6\)**:
   \[
   -7 \times (-6) = 42
   \]

4. **Subtract the results**:
   \[
   81 - 42 = 39
   \]

So, the final answer is:

\[
\boxed{39}
\]

Would you like more details or have any further questions?

Here are some related questions:

1. What is the difference between \((-9)^2\) and \(-9^2\)?
2. How does the distributive property work in expressions like this?
3. How would the expression change if the multiplication involved a positive number instead of \(-6\)?
4. Can you solve a similar expression with variables instead of numbers?
5. What is the order of operations used in this problem?

**Tip:** Always remember to follow the order of operations (PEMDAS/BODMAS) when evaluating mathematical expressions to avoid mistakes.

Learn how to solve the algebraic expression (-9)^2 - (-8 + 1) × -6 step by step. This problem involves key algebraic concepts like exponentiation, the distributive property, and the order of operations. Suitable for students in Grades 6-8.

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