3a^3+2b^3>=3a^2b+2ab^2
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3a^3+2b^3>=3a^2b+2ab^23a^3+2b^3>=3a^2b+2ab^23a^3+2b^3>=3a^2b+2ab^2=>3a^2(a-b)+2b^2(b-a)>=0=>(3a^2-2b
3a^3+2b^3>=3a^2b+2ab^2
3a^3+2b^3>=3a^2b+2ab^2
3a^3+2b^3>=3a^2b+2ab^2
=> 3a^2(a-b)+2b^2(b-a)>=0
=> (3a^2-2b^2)(a-b)>=0
=> a>=b 或 -(2/3)^0.5b=-(2/3)^0.5b 或 b
反例:
a=0.9b 时不等式不成立,不等号为<
(a-b)^3+2ab(a-b)
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