Let's evaluate the expression \( x - 9 - (x - 9)2 + xy - 9y \) step by step.

Given:
\[
x - 9 - (x - 9)2 + xy - 9y
\]

### Step 1: Simplify the terms
First, let's distribute the multiplication in the expression \( (x - 9)2 \):
\[
(x - 9)2 = 2x - 18
\]
Substitute this back into the expression:
\[
x - 9 - (2x - 18) + xy - 9y
\]

### Step 2: Distribute and combine like terms
Simplify further by distributing and combining like terms:
\[
x - 9 - 2x + 18 + xy - 9y
\]
\[
(x - 2x) + (-9 + 18) + xy - 9y
\]
\[
-x + 9 + xy - 9y
\]

### Final Expression
The simplified expression is:
\[
-x + 9 + xy - 9y
\]

This is the final, simplified form of the expression.

Would you like more details or have any questions?

### Relative Questions:
1. How would the expression change if \( x = 2 \) and \( y = 3 \)?
2. Can you simplify the expression if \( y = 0 \)?
3. What happens to the expression if you factor out \( y \) from the terms involving \( y \)?
4. How does the expression change if you expand the expression using a different method?
5. What would the expression look like if \( x = y \)?

### Tip:
Always remember to distribute and combine like terms carefully to avoid mistakes in simplification.

Learn how to evaluate the expression x - 9 - (x - 9)^2 + xy - 9y step-by-step. This problem covers algebraic simplification and combining like terms. Suitable for high school students.

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