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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (((x^4-1)))/((x-1))

simplify

\frac{( ( x ^{4} - 1 ) )}{( x - 1 )}

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

Solution steps

\frac{( x ^{4} - 1 )}{x - 1}

Apply rule:

(a) = a

(x^{4} - 1) = x^{4} - 1

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

Apply exponent rules

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

Cancel the common factor:

x - 1

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

(6 x + 4 y)^{3}

x^{4} + x^{2} \cdot y^{2} + y^{4}

4 a^{2} - 9 b^{2} - 2 a - 3 b

3 a^{12} + 1 + 3 a^{6} + a^{18}

(6 + x)^{3}

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