Question

ma puteti ajuta cu ex 5 , va rog !!

Answer 1

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

[2 / (x - 2)(x + 2)] * [- (x - 2)^2 / 4x] : [- (x - 2) / 2x]

[2 / (x - 2)(x + 2)] * [- (x - 2)^2 / 4x] * [- 2x / (x - 2)]

2 * (x - 2)^2 * 2x /  (x - 2)(x + 2) * 4x * (x - 2)

4x *  (x - 2)^2 / 4x * (x - 2)^2 * (x + 2) = 1 / (x + 2)