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

The solution to 2/(x+1)+2/(x-1)+1/(x^2-1) is (4x+1)/((x+1)(x-1))

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

simplify

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

\frac{4 x + 1}{( x + 1 ) ( x - 1 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 (x - 1) + 2 (x + 1) + 1 : 4 x + 1

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

\frac{16}{3} + \frac{16}{3}

\frac{x + 4}{6} + \frac{x + 3}{15}

(x + 7) (3 x - 2)

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

- x^{2} + 7 x + 8

What is 2/(x+1)+2/(x-1)+1/(x^2-1) ?
The solution to 2/(x+1)+2/(x-1)+1/(x^2-1) is (4x+1)/((x+1)(x-1))