Given x2 + y2-10x-6y + 34 = 0, find the value of (X-Y / x + y) 2 △ x2-y2 / XY × x2 + 2XY + Y2 / x2-xy

Hello
x²+y²-10x-6y+34=0
（x-5）²+（y-3）²=0
Every term is greater than or equal to 0. The above formula holds only when it is equal to 0
x=5
y=3
（x-y/x+y）²÷（x²-y²）/xy×（x²+2xy+y²）/（x²-xy）
=（x-y）²/（x+y）²×xy/[（x-y）（x+y）]×（x+y）²/x（x-y）
=y/（x+y）
=3/8
If you don't understand, please ask. If you understand, please select it as a satisfactory answer in time! (*^__ ^*Thank you!

RELATED INFORMATIONS

1. If 2x + y = 0, then the value of (x2 + XY + Y2) / (2xy-x2)
2. Decomposition factor 7x & # 179; - 63x = (a + b) &# 178; + A + B = x ^ 4-81= There are three questions
3. X & # 179; + 5x & # 178; + 7x + 3 decomposes the factor to get?
4. Find the inner common tangent equations of two circles X & # 178; + Y & # 178; = 16 and (x-3) + (y + 4) &# 178; = 1
5. Simplification (x ^ 2-2xy + y ^ 2-1) / (x-y-1)
6. Simplify, evaluate: (1 / x + y) + (1 / X-Y) divided by (2x / x ^ 2-2xy + y ^ 2), where x = radical 3, y = negative radical 2
7. X ^ 2y-2xy + y reduction
8. 4-x ^ 2 / x ^ 2y-2xy fraction reduction
9. How to simplify x squared minus y squared?
10. If a + B + C = 0, what is the cubic of a + cubic of B + cubic of c-3abc!
11. If x2-2x + 10 + Y2 + 6y = 0, find (2x + y) 2
12. If x2 + y2-2x-6y + 10 = 0, then 4 / (y + 1 / x)=
13. 8. Given that x2 + Y2 + 2x-6y + 10 = 0, then the values of X and y are respectively a.x = 1 and y = 3
14. For the fraction M-1 / x2-2x + m, no matter what the value of X is, the fraction is always meaningful
15. The fraction x2 + 2x of 1, when x takes what value is meaningful
16. Given the function f (x) = x ^ 2 + | X-1 |, G (x) = x ^ 3-ax (a)
17. It is known that the set a = {XL1 ≤ x ≤ 4}, f (x) = x2 + PX + Q and G (x) = x + 4 / X are functions defined on a, and at x0 they are all functions It is known that the set a = {XL1 ≤ x ≤ 4}, f (x) = x2 + PX + Q and G (x) = (x + 4) / X are functions defined on a, and the minimum value is obtained at x0, and f (x0) = g (x0), so the maximum value of F (x) on a can be obtained
18. It is known that the function f (x) whose domain is r satisfies that f (f (x) - x2 + x) = f (x) - x2 + X has only one real number x0, such that f (x0) = x0 Why should the two values obtained from the analytic expression of function f (x) be rounded off x = 0?
19. Let the function defined on R satisfy f (f (x) - x2 + x) = f (x) - x2 + X, and have and only have one x0, such that f (x0) = x0, and find the analytic expression of F (x)
20. The square of function f (x) = 4x - MX + 5 is an increasing function on [- 2, positive infinity] and a decreasing function on (negative infinity, - 2]. Find the value of M