What is factor (x^4-1)/(x^3-1) ?

The solution to factor (x^4-1)/(x^3-1) is ((x^2+1)(x+1))/(x^2+x+1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (x^4-1)/(x^3-1)

factor

\frac{x ^{4} - 1}{x ^{3} - 1}

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

Solution steps

\frac{x ^{4} - 1}{x ^{3} - 1}

Factor

x^{4} - 1 : (x^{2} + 1) (x + 1) (x - 1)

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

Factor

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

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

Cancel the common factor:

x - 1

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

[0.5]

a^{3} + (a + 1)^{3}

\frac{d}{d x} ((f (x)) (x^{3}))

b x - ab + x^{2} - a x

2 e^{2} - 18

What is factor (x^4-1)/(x^3-1) ?
The solution to factor (x^4-1)/(x^3-1) is ((x^2+1)(x+1))/(x^2+x+1)