What is factor e^{20}-e^6 ?

The solution to factor e^{20}-e^6 is e^6(e+1)(e^6-e^5+e^4-e^3+e^2-e+1)(e-1)(e^6+e^5+e^4+e^3+e^2+e+1)

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factor e^{20}-e^6

factor

e^{20} - e^{6}

e^{6} (e + 1) (e^{6} - e^{5} + e^{4} - e^{3} + e^{2} - e + 1) (e - 1) (e^{6} + e^{5} + e^{4} + e^{3} + e^{2} + e + 1)

Solution steps

e^{20} - e^{6}

Factor out common term

e^{6} : e^{6} (e^{14} - 1)

= e^{6} (e^{14} - 1)

Factor

e^{14} - 1 : (e + 1) (e^{6} - e^{5} + e^{4} - e^{3} + e^{2} - e + 1) (e - 1) (e^{6} + e^{5} + e^{4} + e^{3} + e^{2} + e + 1)

= e^{6} (e + 1) (e^{6} - e^{5} + e^{4} - e^{3} + e^{2} - e + 1) (e - 1) (e^{6} + e^{5} + e^{4} + e^{3} + e^{2} + e + 1)

x^{16} - 16

12 x - 24 x

x ln (20) - x ln (2)

cosh (2 t - 2)

[3.2404542]

What is factor e^{20}-e^6 ?
The solution to factor e^{20}-e^6 is e^6(e+1)(e^6-e^5+e^4-e^3+e^2-e+1)(e-1)(e^6+e^5+e^4+e^3+e^2+e+1)