3/x+1-1/x-1=4/x^2-1

Question

How can you solve this problem?

Answer 1

(3/(x + 1)) - (1/(x - 1)) = 4/(x^2 - 1)
(3(x - 1) / (x + 1)(x - 1)) - ((x + 1) / (x + 1)(x - 1)) = 4 / (x^2 - 1)
((3x - 3) / (x^2 - 1)) - ((x + 1) / (x^2 - 1)) = 4 / (x^2 - 1)
(3x - 3) - (x + 1) = 4
3x - 3 - x - 1 = 4
2x - 4 = 4
2x = 4 + 4
2x = 8
x = 8 / 2
x = 4

Answer 2

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

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

3(x - 1) -1(x + 1) = 4

3x - 3 -x - 1 = 4

2x - 4 = 4

2x = 4 + 4

2x = 8

x = 8/2

x = 4