Mathematical and Physical Journal
for High Schools
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Problem C. 925. (January 2008)

C. 925. Show that the expression


\frac{x}{y^3-1}+\frac{y}{1-x^3}+\frac{2(x-y)}{x^2y^2+3}

has a constant value for all x and y for which it is meaningful and x+y=1.

(5 pont)

Deadline expired on February 15, 2008.


Statistics:

225 students sent a solution.
5 points:206 students.
4 points:1 student.
3 points:1 student.
2 points:2 students.
1 point:3 students.
0 point:5 students.
Unfair, not evaluated:7 solutionss.

Problems in Mathematics of KöMaL, January 2008