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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

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

Solution steps

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

Apply exponent rule:

a^{- 1} = \frac{1}{a}

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

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

Apply the fraction rule:

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

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

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

(x + 2 y)^{2} - 3 (2 y + x)

8 x^{2} - 18 x y - 5 y^{2}

3 x^{3} (3 x - 4)^{2} + x^{4} (8) (3 x - 4) (3)

\frac{3}{x - 1} - \frac{4}{x + 3}

5 (3 x^{2} + 9 x) - 14

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