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

The solution to (x-1)/((1-x)x) is -1/x

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simplify (x-1)/((1-x)x)

simplify

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

- \frac{1}{x}

Solution steps

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

1 - x = - (x - 1)

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

Cancel the common factor:

x - 1

= \frac{1}{- x}

Apply the fraction rule:

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

= - \frac{1}{x}

(- 38) - 30

y^{4} - 121

3 + (- 3)^{- 2} - (9 + 7)^{0}

lo g_{25} (1)

\frac{78}{13}