What is 3/(x+1)-3/x ?

The solution to 3/(x+1)-3/x is -3/(x(x+1))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3/(x+1)-3/x

simplify

\frac{3}{x + 1} - \frac{3}{x}

- \frac{3}{x ( x + 1 )}

Solution steps

\frac{3}{x + 1} - \frac{3}{x}

Least Common Multiplier of

x + 1, x : x (x + 1)

Adjust Fractions based on the LCM

= \frac{3 x}{x ( x + 1 )} - \frac{3 ( x + 1 )}{x ( x + 1 )}

Apply the fraction rule:

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

= \frac{3 x - 3 ( x + 1 )}{x ( x + 1 )}

Simplify

3 x - 3 (x + 1) : - 3

= \frac{- 3}{x ( x + 1 )}

Apply the fraction rule:

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

= - \frac{3}{x ( x + 1 )}

91 \cdot (55 \cdot 39)

180 x^{3}

(f + g) (4)

13 + (- 9)

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