Answer:
Your 1st answer is correct
Step-by-step explanation:
[tex] \frac{1}{(x - 1)} - \frac{3}{(1 - x)} + 2[/tex]
[tex] \frac{1}{(x - 1)} - \frac{3}{ - (x - 1)} + 2[/tex]
[tex]\frac{1}{(x - 1)} + \frac{3}{(x - 1)} + 2[/tex]
[tex] \frac{4}{(x - 1)} + 2[/tex]
[tex] \frac{4 + 2(x - 1)}{x - 1} [/tex]
[tex] \frac{4 + 2x - 2}{x - 1} [/tex]
[tex] = \frac{2x + 2}{x - 1} [/tex]
[tex] = \frac{2(x + 1)}{x - 1} [/tex]