https://file.aiquickdraw.com/mathbot/file/1726293118792yqzgqawj.jpg

The image shows two mathematical expressions:

1. The first one appears to be:
   \[
   \frac{(x - y) - (x + 1)}{x + 1}
   \]

2. The second one looks like:
   \[
   \frac{x - y - 2x + 2}{x - 1}
   \]

Would you like me to simplify both of these expressions, or would you like further clarification on any part of the problem? 

Here are some related questions to help further understanding:

1. Would you like a detailed explanation of simplifying rational expressions?
2. Are you familiar with combining like terms in algebraic expressions?
3. Would you like to explore how the minus signs distribute over terms in parentheses?
4. Would you like to know how to handle denominators in algebraic fractions?
5. Should we review how to check for undefined values in rational expressions?

**Tip:** Always check for any common factors in the numerator and denominator before simplifying fractions to avoid missing simplifications.

Simplify the given algebraic expressions: (x - y) - (x + 1) / (x + 1) and (x - y - 2x + 2) / (x - 1).

This tutorial explains how to simplify the algebraic expressions (x - y) - (x + 1) / (x + 1) and (x - y - 2x + 2) / (x - 1). Learn to combine like terms and simplify rational expressions, suitable for students in Grades 8-10.

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