Răspuns :
Răspuns:
Explicație pas cu pas:
2/(x^2 - 4) = 2/(x - 2)(x + 2)
1 - (x^2 + 4)/4x = (4x - x^2 - 4) / 4x = - (x^2 - 4x + 4) / 4x = -(x - 2)^2/4x
1/x - 1/2 = (2 - x) / 2x = - (x - 2)/2x
E(x) = [2/(x - 2)(x + 2)]*[-(x- 2)^2/4x] : [-(x - 2)/2x]
E(x) = [2/(x - 2)(x + 2)]*[-(x- 2)^2/4x] * [-2x / (x - 2)]
Dupa simplificari ramane E(x) = 1 / (x + 2)