What is ((x^5-1))/((x-1)) ?

The solution to ((x^5-1))/((x-1)) is x^4+x^3+x^2+x+1

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simplify ((x^5-1))/((x-1))

simplify

\frac{( x ^{5} - 1 )}{( x - 1 )}

x^{4} + x^{3} + x^{2} + x + 1

Solution steps

\frac{x ^{5} - 1}{x - 1}

Factor

x^{5} - 1 : (x - 1) (x^{4} + x^{3} + x^{2} + x + 1)

= \frac{( x - 1 ) ( x ^{4} + x ^{3} + x ^{2} + x + 1 )}{x - 1}

Cancel the common factor:

x - 1

= x^{4} + x^{3} + x^{2} + x + 1

(4 x + 6)^{2}

\frac{1 - 4 i}{5 + 2 i}

- 18 \div 6

\frac{3}{5 + 2}

What is ((x^5-1))/((x-1)) ?
The solution to ((x^5-1))/((x-1)) is x^4+x^3+x^2+x+1