To simplify the expression \( ax^2 + bx^2 - ay - bu^2 - ay^2 - by \), we can combine like terms.
Combine the \( x^2 \) terms: \[ ax^2 + bx^2 = (a + b)x^2 \]
Combine the \( y \) terms: \[ -ay - ay^2 - by = -ay^2 - ay - by \]
Putting it all together, the expression simplifies to: \[ (a + b)x^2 - ay^2 - ay - by \]
So the final simplified expression is: \[ (a + b)x^2 - ay^2 - ay - by \]