en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2+x)/(x^2-1)

Solution

simplify

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

Solution

\frac{x}{x - 1}

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x + 1

= \frac{x}{x - 1}

Popular Examples

simplify sqrt(9x^3)simplify

9 x^{3}

factor 3x^2+27x+24 factor

3 x^{2} + 27 x + 24

simplify 1*(-2)simplify

1 \cdot (- 2)

expand (y^2-2x)^2 expand

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

\frac{1}{3} \div \frac{1}{2}

Frequently Asked Questions (FAQ)

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