en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^3-x)/x

Solution

simplify

\frac{x ^{3} - x}{x}

Solution

(x + 1) (x - 1)

Solution steps

\frac{x ^{3} - x}{x}

Factor

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

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

Factor

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

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

Cancel the common factor:

x

= (x + 1) (x - 1)

Popular Examples

simplify 9-8/4 simplify

9 - \frac{8}{4}

simplify 63/81 simplify

\frac{63}{81}

simplify (sqrt(2)-i)-i(1-sqrt(2)i)simplify

(2 - i) - i (1 - 2 i)

simplify 6+3y^2-3y^2-3y+7y^2-3y-4 simplify

6 + 3 y^{2} - 3 y^{2} - 3 y + 7 y^{2} - 3 y - 4

simplify ln(e^6)-ln(e^2)simplify

ln (e^{6}) - ln (e^{2})

Frequently Asked Questions (FAQ)

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