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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

x - 2, x + 2 : (x - 2) (x + 2)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x + 2 + x - 2 : 2 x

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

22 - 5

(2 + x) x

25 - 4

25 - 3

- 9 r + 10 r