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

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

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

simplify

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

- \frac{1}{w + 1}

Solution steps

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

Factor

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

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

1 - w = - (w - 1)

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

Cancel the common factor:

w - 1

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

Apply the fraction rule:

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

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

2^{2} \cdot 3^{2}

25 m^{2} - n^{2}

26 - 54

(6 i) (7 - 7 i) + (i) (1 + 3 i)

8 - 2 x + 5 x