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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

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 )}{1 - x}

Cancel

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

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

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Frequently Asked Questions (FAQ)

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