Cho \( a, b, c > 0 \). Chứng minh rằng a) \( a^3 + b^3 + c^3 \geq a^2b + b^2c + c^2a \) b) \( \frac{a}{b^3} + \frac{b}{c^3} + \frac{c}{a^3} \geq \frac{1}{a^2} + \frac{1}{b^2} + \frac{1}{c^2} \)

phan b
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Bài 2. Cho \( a, b, c > 0 \). Chứng minh rằng

a) \( a^3 + b^3 + c^3 \geq a^2b + b^2c + c^2a \)

b) \( \frac{a}{b^3} + \frac{b}{c^3} + \frac{c}{a^3} \geq \frac{1}{a^2} + \frac{1}{b^2} + \frac{1}{c^2} \).