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

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

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expand 1/(1-x)-1/x

expand

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

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

Solution steps

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

Least Common Multiplier of

1 - x, x : x (- x + 1)

Adjust Fractions based on the LCM

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

Since the denominators are equal, combine the fractions:

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

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

Expand

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

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

Expand

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

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

\frac{1}{3} (cosh (9 e ni) - cosh (6 e ni))

(77 + 4 x - x^{2}) d x

(s + 2 + j^{2} 3) (s + 2 - j^{2} 3) (s + 10)

(- 1, - 3) y (2, 3)

sec (b) (cos (c) b + 1)

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