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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

2 x - 1, x : x (2 x - 1)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x - (2 x - 1) : - x + 1

= \frac{- x + 1}{x ( 2 x - 1 )}

\frac{1}{x ^{- 8}}

r^{2} - 81

63 \cdot 4

(\frac{1}{2})^{2}

\frac{a ^{2} - 16}{a - 4}