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VĂ ROG! AJUTATI-MA! Calculati:
1/x²+1/y²+2/xy-1/x²y², x+y=1, unde x, y∈R*.
/= fractie


Răspuns :

[tex]( \frac{1}{x}+ \frac{1}{y})^2- \frac{1}{xy}=( \frac{x+y}{xy})^2- \frac{1}{xy}= \frac{1}{xy}- \frac{1}{xy}=0 [/tex]