What is factor e^8-1 ?

The solution to factor e^8-1 is (e^4+1)(e^2+1)(e+1)(e-1)

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factor e^8-1

factor

e^{8} - 1

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

Solution steps

e^{8} - 1

Rewrite

e^{8} - 1

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

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

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

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

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

Factor

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

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

5 a^{2} z - 12 x c - 4 a^{2} c + 15 x z

x^{4 - 5 x^{2 + 4}}

81 k^{2} - (a + 2)

5 x^{4 - 16 x^{2}}

lo g_{10} (2) (82)