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Popular >

factor e^5-1

Solution

factor

e^{5} - 1

Solution

(e - 1) (e^{4} + e^{3} + e^{2} + e + 1)

Solution steps

e^{5} - 1

Rewrite

1

as

1^{5}

= e^{5} - 1^{5}

Apply factoring rule:

x^{n} - y^{n} = (x - y) (x^{n - 1} + x^{n - 2} y + \dots + x y^{n - 2} y^{n - 1})

e^{5} - 1^{5} = (e - 1) (e^{4} + e^{3} + e^{2} + e + 1)

= (e - 1) (e^{4} + e^{3} + e^{2} + e + 1)

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Frequently Asked Questions (FAQ)

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