Answer: (a^2 - 4)/(x^2 - 9) + (a^2 - 2a + (2-y))/(xy + 3y) - (x-3)
Step-by-step explanation: First, you need to simplify the fraction in the first term:
(a^2 - 4)/(x^2 - 9)
Next, you simplify the fraction in the second term:
(a^2 - 2a + (2-y))/(xy + 3y)
Then you subtract (x-3) from the fractions obtained in step 1 and 2:
(a^2 - 4)/(x^2 - 9) + (a^2 - 2a + (2-y))/(xy + 3y) - (x-3)
This is the final result of the operation.
It is important to note that the answer is a simplified fraction and only valid if x does not equal 3. If x=3, the denominator x-3 would be equal to zero, which is not allowed in mathematics.