What is 2/x+3/(x+1) ?

The solution to 2/x+3/(x+1) is (5x+2)/(x(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+3/(x+1)

simplify

\frac{2}{x} + \frac{3}{x + 1}

\frac{5 x + 2}{x ( x + 1 )}

Solution steps

\frac{2}{x} + \frac{3}{x + 1}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{2 ( x + 1 )}{x ( x + 1 )} + \frac{3 x}{x ( x + 1 )}

Apply the fraction rule:

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

= \frac{2 ( x + 1 ) + 3 x}{x ( x + 1 )}

Simplify

2 (x + 1) + 3 x : 5 x + 2

= \frac{5 x + 2}{x ( x + 1 )}

0 \times 5

x 160 x^{4} - 6 x^{3} 90

(x - 0) (x - 2)

10 a - 7 b - 4 a + 5 b - 14 b + 3 b

x^{3} + 2 x^{3}