What is (1-x)/(x^2-1) ?

The solution to (1-x)/(x^2-1) is -1/(x+1)

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simplify (1-x)/(x^2-1)

simplify

\frac{1 - x}{x ^{2} - 1}

- \frac{1}{x + 1}

Solution steps

\frac{1 - x}{x ^{2} - 1}

Factor

x^{2} - 1 : (x + 1) (x - 1)

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

1 - x = - (x - 1)

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

Cancel the common factor:

x - 1

= \frac{- 1}{x + 1}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{1}{x + 1}

\frac{1}{1 - \frac{2}{5}}

\frac{2 x}{x ^{2} + x - 2} - \frac{5}{3 x + 6}

- 10 \times 5

2.8 3^{2}

9 \cdot 3 \frac{5}{6}