a^3+b^3+c^3+(1/a+1/b+1/c) - 知识问答

a^3+b^3+c^3+(1/a+1/b+1/c)^3大于等于18

2个回答

a^3+b^3+c^3+(1/a+1/b+1/c)^3
≥3(a^3.b^3.c^3)^(1/3)+[3(1/a.1/b.1/c)^(1/3)]^3
=3abc+(27/abc)
≥2√(3abc*27/abc)
=2√81
=18

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