已知a,b,c∈R+,求证:a(b²+c²)+b(c²+a²)+c(a²+b²)≥6abc
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![已知a,b,c∈R+,求证:a(b²+c²)+b(c²+a²)+c(a²+b²)≥6abc](/uploads/image/z/3723697-1-7.jpg?t=%E5%B7%B2%E7%9F%A5a%2Cb%2Cc%E2%88%88R%2B%2C%E6%B1%82%E8%AF%81%3Aa%28b%26%23178%3B%2Bc%26%23178%3B%29%2Bb%28c%26%23178%3B%2Ba%26%23178%3B%29%2Bc%28a%26%23178%3B%2Bb%26%23178%3B%29%E2%89%A56abc)
已知a,b,c∈R+,求证:a(b²+c²)+b(c²+a²)+c(a²+b²)≥6abc
已知a,b,c∈R+,求证:a(b²+c²)+b(c²+a²)+c(a²+b²)≥6abc
已知a,b,c∈R+,求证:a(b²+c²)+b(c²+a²)+c(a²+b²)≥6abc
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