What is (x^2-2x)/(4-x^2) ?

The solution to (x^2-2x)/(4-x^2) is -x/(2+x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2-2x)/(4-x^2)

simplify

\frac{x ^{2} - 2 x}{4 - x ^{2}}

- \frac{x}{2 + x}

Solution steps

\frac{x ^{2} - 2 x}{4 - x ^{2}}

Factor

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

= \frac{x ( x - 2 )}{4 - x ^{2}}

Factor

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

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

(2 + x) (2 - x) = - (2 + x) (x - 2)

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

Cancel the common factor:

x - 2

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

Apply the fraction rule:

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

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

12 + 108

x (2 x)

x^{4} + 3 x^{3} - 3 x^{2} - 11 x - 6

16 x^{4} y^{8}

\frac{4}{5} \times \frac{3}{8}