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

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

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factor (x-1)/((1-x)x)

factor

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

- \frac{1}{x}

Solution steps

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

- x + 1 = - (x - 1)

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

Refine

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

Cancel the common factor:

x - 1

= - \frac{1}{x}

6^{x} - 3^{2 x}

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