# 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

1 answer

###### Question:

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

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

## Answers

Answer:Your 1st answer is correctStep-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]

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