Video Explanation

Text Explanation

We're asked to find the value of: 

Let's first combine these two fractions into one. We can obtain a common denominator of xy if we multiply the left fraction by and the right fraction by :

From here, we can substitute in the values from the prompt that x² + y² = 12, and that xy = 5:

And now, we convert the above into a mixed fraction:

Thus, the answer is A.