It is known that XYZ satisfies Z + y + Z = XYZ x(1-y2)(1-z2)+y(1-x2)(1-z2)+z(1-x2)(1-y2)=4xyz

x(1-y²)(1-z²)+y(1-x²)(1-z²)+z(1-x²)(1-y²)=x(1-y²-z²+y²z²)+y(1-x²-z²+x²z²)+z(1-x²-y²+x²y²)=x-xy²-xz²+...

RELATED INFORMATIONS

1. The probability that the sum of the number of points on the two upward faces is not greater than 7 is () A 1/7 B 1/6 C 1/3 D 1/2
2. In the plane rectangular coordinate system xoy, we call the point whose abscissa is an integer and whose ordinate is a complete square number "good point", and find the coordinates of all "good points" on the image of quadratic function y = (x-90) (x-90) - 4907
3. 1. Let m and n be positive integers, and M is not equal to 2. If for all real numbers T, the distance between the image of quadratic function y = x + (3 + MT) x-3mt and the two intersections of X axis is not less than | 2T + n | to find the value of m and n 2. It is known that M is a positive integer. If the roots of the equation x cube + (a + 17) x square + (38-a) x-56 = 0 about X are all integers, find the value of a and the integer root of the equation
4. Car a and car B depart from two places 380 kilometers apart at the same time, and meet in three hours. It is known that the speed ratio of car a to car B is 10:9. How many kilometers did car B travel when they met?
5. It's 360 kilometers from Tianjin to Jinan. A train leaves from Tianjin at 13:30 and arrives at Jinan at 16:30. How many kilometers does the train travel per hour?
6. A batch of coal has been transported 32 times by 6 vehicles. If 2 more vehicles of the same type are added, how many times can it be transported in advance?
7. A cement plant plans to produce a batch of cement in January. In fact, it completed one third of the plan in the first ten days, 40% in the middle ten days, and another 26000 in the last ten days How many tons of cement is planned to be produced in January!
8. There are 480 male and female workers in a factory, and male workers account for 60% of the total number. Due to other tasks, some male workers have been transferred. At this time, the number of male workers accounts for 36% of the total number. How many people have been transferred? (hint: after some people have been transferred, the total number has changed. It is no longer 480, otherwise it will be a decimal.)
9. There are 378 workers in a factory. If the number of male workers decreases and the number of female workers increases by 1 / 14, then the number of men and women is equal?
10. 1. Yuxin primary school has 108 students participating in school science and technology group activities, of which the number of boys is 1.4 times that of girls. How many boys and girls participate in the activities? 2
11. Among n consecutive three digit numbers, there must be a number whose sum of all digits can divide this number to find the minimum value of n
12. If P = | 1-2x | + | 1-3x | + | 1-4x | +. + | 1-10x |, for any allowable value of X in a certain range, is the fixed value, then the fixed value is?
13. In the first quadrant of the image with inverse scale function y = K / X (k > o), point m.n passes through point m as me, perpendicular to Y-axis and E, and point n as NF, perpendicular to x-axis and F. the perpendicular feet are e and f respectively
14. In the forest, the hound found a rabbit running 20 meters in front of him, and immediately caught up with him. The hound had a big step. It ran 5 steps, and the rabbit had to run 9 steps, but the rabbit was fast. When the hound ran 2 steps, the rabbit could run 3 steps. How far could the hound run to catch up with the hare?
15. x/2+x/6+x/12+x/20+x/30+x/42+x/56=7/8 Where x is unknown, finding x is simple
16. In the square BX + CZ of equation y = ax, when x = 1, y = 0. When x = - 1, y = - 2. When x = 2, y = 8. Find the value of ABC The sum of ABC three numbers is 18. Given that a is 1 more than B, and the sum of B and C is 4 more than a, then what are ABC respectively
17. Observe the following: From 2 & # 178; × 5 & # 178; = 4 × 25 = 100, （2×5）²＝10²＝100, We can get 2 & # 178; × 5 & # 178; = (2 × 5) &# 178; From 2 & # 179; × 5 & # 179; = 8 × 125 = 1000, (2 × 5) &# 179; = 10 & # 179; = 1000, We can get 2 & # 179; × 5 & # 179; = 10 & # 179 Please write two similar formulas according to the above data characteristics. What rules do you find?
18. Solve the equations 2s+3t=-1,t=4s-1 2b-4b=-1,2s+b=4 2m+3n=3m-2n=3 0.2x +0.3y=0.2 ,0.4x +0.1y=0.4
19. ① The following calculation is correct: a (- 3x) ^ 2 = - 9x ^ 2 b. (- 3x) ^ 2 = 9x ^ 2 C. (- 3) ^ 2 = - 6x ^ 2 D (- 3x) ^ 2 = 6x ^ 2 ② The result of calculating a (- 2A) ^ 3 · (a ^ 2) ^ 5 is () (to simplify) ③ If (x ^ 3Y ^ n) ^ 2 = x ^ 6 y ^ 8, then n equals () ④ Given 2 ^ x = A.2 ^ y = B. find the value of (2 ^ x + y) + (2 ^ 3x + 2Y) ⑤ Given x ^ n = 2. Y ^ n = 3, find the value of (x ^ 2Y) ^ 2n
20. For real numbers x and y, define a new operation, X * y = ax + BX + cxy, where a, B and C are constants. If 1 * 2 = 3, 2 * 3 = 4 and there is a non-zero constant D, such that for any x, there is always x * d = x, then the value of D is? A、3 B、4 C、5 D、6