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Popular >

factor x^5+1

Solution

factor

x^{5} + 1

Solution

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

Solution steps

x^{5} + 1

Rewrite

1

as

1^{5}

= x^{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}), n i s o dd

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

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

Popular Examples

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81 a^{5} b

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24 x^{2} - 44 x + 12

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\frac{27 x ^{4} y ^{6}}{9 x ^{5} y ^{2}}

Frequently Asked Questions (FAQ)

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