关于化简求值与恒等证明1.已知a+b+c=0.求证:(1)a^3+a^2c+b^2c+b^3=abc(2)a^4+b^4+c^4=2a^2b^2+2b^2c^2+2c^2a^22.已知a+b+c=0,求证:a^3+b^3+c^3=3abc3.已知:abc不等于0,ab+bc=2ac求证:(1/a)-(1/b)=(1/b)-(1/c).4.a+b小于0,
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![关于化简求值与恒等证明1.已知a+b+c=0.求证:(1)a^3+a^2c+b^2c+b^3=abc(2)a^4+b^4+c^4=2a^2b^2+2b^2c^2+2c^2a^22.已知a+b+c=0,求证:a^3+b^3+c^3=3abc3.已知:abc不等于0,ab+bc=2ac求证:(1/a)-(1/b)=(1/b)-(1/c).4.a+b小于0,](/uploads/image/z/7108139-11-9.jpg?t=%E5%85%B3%E4%BA%8E%E5%8C%96%E7%AE%80%E6%B1%82%E5%80%BC%E4%B8%8E%E6%81%92%E7%AD%89%E8%AF%81%E6%98%8E1.%E5%B7%B2%E7%9F%A5a%2Bb%2Bc%3D0.%E6%B1%82%E8%AF%81%EF%BC%9A%EF%BC%881%EF%BC%89a%5E3%2Ba%5E2c%2Bb%5E2c%2Bb%5E3%3Dabc%EF%BC%882%EF%BC%89a%5E4%2Bb%5E4%2Bc%5E4%3D2a%5E2b%5E2%2B2b%5E2c%5E2%2B2c%5E2a%5E22.%E5%B7%B2%E7%9F%A5a%2Bb%2Bc%3D0%2C%E6%B1%82%E8%AF%81%EF%BC%9Aa%5E3%2Bb%5E3%2Bc%5E3%3D3abc3.%E5%B7%B2%E7%9F%A5%EF%BC%9Aabc%E4%B8%8D%E7%AD%89%E4%BA%8E0%2Cab%2Bbc%3D2ac%E6%B1%82%E8%AF%81%EF%BC%9A%281%2Fa%29-%281%2Fb%29%3D%281%2Fb%29-%281%2Fc%29.4.a%2Bb%E5%B0%8F%E4%BA%8E0%2C)
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