Divide (1-x)/(x-1)

$\frac{1 - x}{x - 1}$

Step 1

Rewrite $1$ as $- 1 (- 1)$ .

$\frac{- 1 (- 1) - x}{x - 1}$

Step 2

Factor $- 1$ out of $- x$ .

$\frac{- 1 (- 1) - (x)}{x - 1}$

Step 3

Factor $- 1$ out of $- 1 (- 1) - (x)$ .

$\frac{- 1 (- 1 + x)}{x - 1}$

Step 4

Reorder terms.

$\frac{- 1 (x - 1)}{x - 1}$

Step 5

Cancel the common factor.

$\frac{- 1 (x - 1)}{x - 1}$

Step 6

Divide $- 1$ by $1$ .

$- 1$

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