https://file.aiquickdraw.com/mathbot/file/1727311415674hknvs3or.jpg

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The expression provided is:
\[
x^2 - (x - y)^2 \cdot y
\]
with the values \( x = -5 \) and \( y = -8 \).

Let's solve this step-by-step by substituting the values of \( x \) and \( y \) into the equation:

\[
(-5)^2 - ((-5) - (-8))^2 \cdot (-8)
\]

I will calculate this for you.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, you can follow these steps to solve the problem manually:

1. Start by substituting \( x = -5 \) and \( y = -8 \) into the expression:
   \[
   (-5)^2 - ((-5) - (-8))^2 \cdot (-8)
   \]

2. Simplify each part:
   - \( (-5)^2 = 25 \)
   - \( (-5) - (-8) = -5 + 8 = 3 \)
   - \( (3)^2 = 9 \)

3. Multiply by \( y \):
   \[
   9 \cdot (-8) = -72
   \]

4. Final calculation:
   \[
   25 - (-72) = 25 + 72 = 97
   \]

So, the result of the expression is \( 97 \).

If you have any questions or need further clarification, feel free to ask!

Here are five related questions for further practice:
1. What happens if \( x = 5 \) and \( y = 8 \) in the same expression?
2. How does the expression change if \( y = 0 \)?
3. Can you generalize this expression for any values of \( x \) and \( y \)?
4. What if the powers are raised to 3 instead of 2?
5. How does multiplying by \( y \) affect the result?

**Tip:** Always simplify expressions inside parentheses first to avoid mistakes.

Solve the expression x^2 - (x - y)^2 * y, for x = -5 and y = -8.

Learn how to solve the algebraic expression x^2 - (x - y)^2 * y for x = -5 and y = -8 with a step-by-step explanation. Understand key algebraic concepts like substitution and exponentiation, suitable for Grades 8-10 students.

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