>>374

・n=2 のとき

a^3 +(a+b)bb -(1/3)(a+b)^3
={(2a^3 - 3aab + b^3) + b^3}/9
≧(b^3)/9
≧ 0,

・n=3 のとき

a^3 +(a+b)bb +(a+b+c)cc -(1/5)(a+b+c)^3
={(7/4)x^3 +(23/8)y^3 + 4z^3 - 6xyz + 2x(3x/4 -y)^2 + 2x(3x/4 -z)^2 + 2y(3y/4 -z)^2}/5
>{(7/4)x^3 +(20/7)y^3 + 4z^3 - 6xyz}/5
≧(3{20^(1/3)}xyz - 6xyz)/5
= 3xyz/7
≧ 0,