en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Convert

x

to fraction

: \frac{x ( x - 1 )}{x - 1}

Convert

1

to fraction

: \frac{x - 1}{x - 1}

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

Apply the fraction rule:

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

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

Add the numbers:

- 1 + 1 = 0

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

Simplify

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

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

Popular Examples

simplify-1*2x simplify

- 1 \cdot 2 x

simplify v-5-8v simplify

v - 5 - 8 v

simplify-4(2k-1)+9k-15 simplify

- 4 (2 k - 1) + 9 k - 15

simplify-4+5x-17-22x simplify

- 4 + 5 x - 17 - 22 x

simplify (3b-2)(-3)simplify

(3 b - 2) (- 3)

Frequently Asked Questions (FAQ)

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