Question

Aduceti expresia la forma cea mai simpla:

E(x) = (1 + 1/ x-2 - 2/x+2 ) : 1/x²-4 - x²+5x

Answer 1

E(x)=|(x-2)(x+2)/(x-2)(x+2)+x+2/(x-2)(x+2)-2(x-2)/(x-2)(x+2)|×(x-2)(x+2)-x²+5x
E(x)=(x²-4+x+2-2x+4)/(x-2)(x+2)×(x-2)(x+2)-x²+5x
E (x)=x²-6x+2-x²+5x
E(x)=2-x

Answer 2

E(x)=|(x-2)(x+2)/(x-2)(x+2)+x+2/(x-2)(x+2)-2(x-2)/(x-2)(x+2)|×(x-2)(x+2)-x²+5x
E(x)=(x²-4+x+2-2x+4)/(x-2)(x+2)×(x-2)(x+2)-x²+5x
E (x)=x²-6x+2-x²+5x
E(x)=2-x
Si mie mi s-a primit acelasi raspuns