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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^3+1)/(x^3-x^2+x)

simplify

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

\frac{x + 1}{x}

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x^{2} - x + 1

= \frac{x + 1}{x}

0.0 6^{3}

(a - b)^{8}

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

\frac{10}{10 \cdot n}

3^{3} 4^{2}