To simplify the expression (х²/у + 6 - у²/у + 6), we can combine like terms.
First, let's find a common denominator for the fractions. The common denominator in this case is (y+6).
Now, rewrite the fractions with the common denominator:
(х²*(y+6))/(у*(y+6)) + (6*(y+6))/(y+6) - у²/(y+6)
Next, simplify the fractions:
(х²*(y+6))/(у*(y+6)) + 6 - у²/(y+6)
Now, let's combine like terms:
[(х²*(y+6)) - у² + 6*(y+6)] / (у*(y+6))
Simplifying further, we get:
(х²y + 6х² + 6y + 36 - у²) / (у*(y+6))
