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Raport de numere reale

Posted: Sun May 10, 2009 7:01 pm
by Mateescu Constantin
Simplificati raportul:

\( \frac{a^{3}(c-b)+b^{3}(a-c)+c^{3}(b-a)}{a^{2}(c-b)+b^{2}(a-c)+c^{2}(b-a)} \), unde \( a,\ b,\ c \) sunt numere reale in conditiile de existenta ale raportului.

Posted: Sun May 10, 2009 8:54 pm
by DrAGos Calinescu
Fractia este egala cu \( \frac{(a-b)(b-c)(c-a)(a+b+c)}{(a-b)(b-c)(c-a)}=a+b+c \)