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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

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

Solution steps

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

Join

- \frac{2}{x - 1} + 2 : \frac{2 x - 4}{x - 1}

= \frac{\frac{2 x - 4}{x - 1}}{\frac{2}{x + 1} - 2}

Join

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

= \frac{\frac{2 x - 4}{x - 1}}{- \frac{2 x}{x + 1}}

Apply the fraction rule:

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

= - \frac{\frac{2 x - 4}{x - 1}}{\frac{2 x}{x + 1}}

Apply the fraction rule:

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

\frac{\frac{2 x - 4}{x - 1}}{\frac{2 x}{x + 1}} = \frac{( 2 x - 4 ) ( x + 1 )}{( x - 1 ) \cdot 2 x}

= - \frac{( 2 x - 4 ) ( x + 1 )}{( x - 1 ) \cdot 2 x}

Cancel

- \frac{( 2 x - 4 ) ( x + 1 )}{( x - 1 ) \cdot 2 x} : - \frac{( x - 2 ) ( x + 1 )}{( x - 1 ) x}

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

\frac{1}{6} + \frac{7}{12}

2 x^{2} + 8 x y + 8 y^{2}

m^{6} - 729

49 + 36

120 x - 2 x^{2}

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