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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

\frac{n + 2}{n ( n + 1 )}

Solution steps

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

Least Common Multiplier of

n, n + 1 : n (n + 1)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 (n + 1) - n : n + 2

= \frac{n + 2}{n ( n + 1 )}

448

8 x^{3} - x^{2}

x^{2} - 16 = - 2 x - 1

40 - 3 x - x^{2}

- 8 > \frac{5}{2} - (6 x + 3)