Question

Efetue as operações indicadas

a) x+1/x-1 + x-1/x+1

b) a+2b/x+a - a-2b/x-a - 4bx-2a²/x²-a²

Answer 1

 $\dfrac{x+1}{x-1}$ +  $\dfrac{x-1}{x+1}$  =  $\dfrac{(x+1)(x+1) + (x-1)(x-1)}{(x-1)(x+1)}$ =  $\dfrac{(x^2+2x+1)+(x^2-2x+1)}{x^2-1}$ = $\dfrac{2x^2+2}{x^2-1}$

a segunda está aqui(fiz à mão):
https://www.dropbox.com/s/mvyzb135pa3xado/5223133.jpg

Answer 2

Resposta:

a) (x+1)^2/(x-1) + (x-1)^2/(x+ 1)=x^2+2x+1+x^2-2x+1/(x-1) (x+1)