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Popular >

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

Solution

simplify

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

Solution

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

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Frequently Asked Questions (FAQ)

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