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

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

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

simplify

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

- \frac{1}{2 x}

Solution steps

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

Simplify

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

= \frac{\frac{2 - x}{2 x}}{x - 2}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{2 - x}{2 x ( x - 2 )}

Cancel

\frac{2 - x}{2 x ( x - 2 )} : - \frac{1}{2 x}

= - \frac{1}{2 x}

\frac{15}{18}

lo g_{9} (64)

5 d - 7 - d + 4

- 4 (- 6 x + 4)

2 x + y + 4 - 3 y + 4 + x

What is (x^{-1}-2^{-1})/(x-2) ?
The solution to (x^{-1}-2^{-1})/(x-2) is -1/(2x)