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Exercitiul 41 dau 35 de puncteeeee

Exercitiul 41 Dau 35 De Puncteeeee class=

Răspuns :

F(X) = [ 2x²-7x-17/(x-3)(x-7) - x+1/x-7] * (x-3)(x+3)
F(X)= [ 2x²-7x-17/(x-3)(x-7) - (x+1)(x-3)/(x-7)(x-3)] * (x-3)(x+3)
F(X)= [ 2x²-7x-17/(x-3)(x-7) - (x²-3x+x-3)/(x-7)(x-3)] * (x-3)(x+3)
F(X)= [ (2x²-7x-17 - x²+3x-x+3)/(x-7)(x-3)] * (x-3)(x+3)
F(X)= [(x²-5x-14)/ (x-7)(x-3)] * (x-3)(x+3)
F(X)= [(x²-5x-14)/ (x-7)] *(x+3)
F(X) =[(x-7)(x+2)/ (x-7)] *(x+3)
F(X)= (x+2) (x+3)

F(X) - produs de numere consecutive ⇒ produs de un nr par si un nr impar
⇒ F(X) - numar par