Enter your answer and show all the steps that you use to solve this problem in the space provided. Find the sum. Write your answer in simplest form. x-4/x^2-2x + 4/×^2-4
To find the sum of the given fractions, we first need to find a common denominator. The denominators of x-4/x^2-2x and 4/x^2-4 are already the same, so we can write them as a single fraction:
(x-4 + 4) / (x^2-2x) = x / (x^2-2x)
Next, we can factor out x from the denominator:
x / (x(x-2))
Now, we can cancel out the common factor of x from the numerator and denominator:
1 / (x-2)
Therefore, the sum of the fractions x-4/x^2-2x + 4/x^2-4 is 1 / (x-2).