Question

EX 5 va rog, nu stiu să-l rezolv !!!

Answer 1

Explicație pas cu pas:

$E(x) = (x - \frac{1}{1-x}) : \frac{x^2 - x + 1}{x^2 - 2x +1}\\\\E(x) = (\frac{x(1-x)}{1-x}- \frac{1}{1-x}) * \frac{x^2 - 2x +1}{x^2 - x + 1}\\\\E(x) =  \frac{x-x^2-1}{1-x} *  \frac{(x-1)^2}{x^2 - x + 1}\\\\E(x) =  \frac{x-x^2-1}{(-1)*(x-1)} *  \frac{(x-1)^2}{x^2 - x + 1}\\\\E(x) =  \frac{(-1)*(x^2-x+1)}{(-1)} *  \frac{(x-1)}{x^2 - x + 1}\\\\E(x) = \frac{-1}{-1} * (x-1)\\\\E(x) = x-1$