Х²/у+6-у²/у+6

To simplify the expression (х²/у+6 - у²/у+6), we can start by finding a common denominator for both fractions, which is (у+6).

Now, let's simplify each fraction separately:

The first fraction (х²/у+6): Since there is no common factor to simplify, it remains as (х²/у+6).

The second fraction (-у²/у+6): To simplify this fraction, let's factor out a negative sign from the numerator: -у² = -(у * у)

Now, we can rewrite the fraction as: -(у * у)/(у+6)

Combining the two fractions, we get: (х²/у+6) - (у * у)/(у+6)

Since the denominators are the same, we can subtract the numerators: (х² - у * у)/(у+6)

Therefore, the simplified expression is (х² - у * у)/(у+6).