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

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

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

simplify

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

\frac{x + 1}{x}

Solution steps

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

Least Common Multiplier of

x - 1, x^{2} - x : x (x - 1)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Cancel

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

= \frac{x + 1}{x}

54 x^{3} - 2 y^{3}

(\frac{- 2}{3 x ^{3} - 1})^{2}

x^{2} - 22 x + 120

(3 z + y)^{3}

(2 b^{- 3})^{2}

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