Question

Se considera expresia E(x) = x patrat - 49 supra x patrat -7x - (alta fractie ) 2x+7 supra xpatrat + x : (alta fractie ) 1 supra x + 1 ;

Answer 1

E(x) = [(x² - 49)/(x²-7x) - (2x + 7)/(x² +x)]:1/(x + 1);

(x² - 49)/(x²-7x) = (x + 7)(x - 7)/x (x -7)= (x +7)/x

E (x) = (x +7)(x + 1)/x - (2x + 7)(x + 1)/(x +1)x;
E(x) = (x +7)(x + 1)/x - (2x +7)x = (x² + x + 7x + 7 - 2x - 7)/x;
E(x) = (x² + 6x)/x = x(x + 6)/x;
E(x) = x + 6