# Bug report (z[0]+z[1]+z[2])^5 == z0^5 + z1^5 + z2^5

Hello, my configuration: SageMath 8.9, Jupiter, Windows 10

z = GF(5)['z0, z1, z2'].gens()

z -> (z0, z1, z2)

(z[0]+z[1]+z[2])^1 -> z0 + z1 + z2

(z[0]+z[1]+z[2])^2 -> z0^2 + 2*z0*z1 + z1^2 + 2*z0*z2 + 2*z1*z2 + z2^2

(z[0]+z[1]+z[2])^3 -> z0^3 - 2*z0^2*z1 - 2*z0*z1^2 + z1^3 - 2*z0^2*z2 + z0*z1*z2 - 2*z1^2*z2 - 2*z0*z2^2 - 2*z1*z2^2 + z2^3

(z[0]+z[1]+z[2])^5 -> z0^5 + z1^5 + z2^5 ???

What is wrong ? What did you expect ?