a^3+b^3+c^3+(1/a+1/b+1/c)^3大于等于18?
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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
=18,3,a^3+b^3+c^3大于等于3abc,(1/a+1/b+1/c)^3大于等于27/abc,原式大于等于3(abc+9/abc)大于等于3*2*根号9=18,0,
≥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
=18,3,a^3+b^3+c^3大于等于3abc,(1/a+1/b+1/c)^3大于等于27/abc,原式大于等于3(abc+9/abc)大于等于3*2*根号9=18,0,
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