What is (x^7-1)/(x-1) ?

The solution to (x^7-1)/(x-1) is x^6+x^5+x^4+x^3+x^2+x+1

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simplify (x^7-1)/(x-1)

simplify

\frac{x ^{7} - 1}{x - 1}

x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x + 1

Solution steps

\frac{x ^{7} - 1}{x - 1}

Factor

x^{7} - 1 : (x - 1) (x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x + 1)

= \frac{( x - 1 ) ( x ^{6} + x ^{5} + x ^{4} + x ^{3} + x ^{2} + x + 1 )}{x - 1}

Cancel the common factor:

x - 1

= x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x + 1

9 + 4

510 \cdot (- 7) 12

(2 m - 3 n + 5 p) (n + 2 p - m)

\frac{1}{3} \cdot π

\frac{1}{2 x} - \frac{1}{x}

What is (x^7-1)/(x-1) ?
The solution to (x^7-1)/(x-1) is x^6+x^5+x^4+x^3+x^2+x+1