rinx3x
contestada

add and simplify
1/(x-1) - 3/(1-x) + 2

im not sure if the answer is 2(1+x) / (x-1) or if it's 2(x-2) / (x-1)

please explain why

Respuesta :

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]