Question

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

Answer 1

Step-by-step explanation:

:-

$\frac{x +1 }{x - 1} + \frac{x - 2}{x + 2} = 3 \\ \\ = \frac{(x + 1)(x + 2) + (x - 2)(x - 1)}{(x - 1)(x + 2)} .....(lcm) \\ \\ = \frac{( {x}^{2} + 2x + x + 2 + {x}^{2} - 2x - x + 2 }{ {x}^{2} + 2x - x - 2} \\ \\ = \frac{(2 {x}^{2} + 4 }{ {x}^{2} + x - 2 }$