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

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

simplify

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

\frac{3 x ^{2} - 2 x - 3}{( x + 1 ) ( x - 1 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x (x - 1) + (2 x - 3) (x + 1) : 3 x^{2} - 2 x - 3

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

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

\frac{6}{7} \div 2

\frac{x ^{2} - 5 x + 6}{x ^{2} - 8 x + 15}

3^{3} \cdot 3^{5}

5 (\frac{1}{5})

What is x/(x+1)+(2x-3)/(x-1) ?
The solution to x/(x+1)+(2x-3)/(x-1) is (3x^2-2x-3)/((x+1)(x-1))