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$\frac{(1+a^{2})^{2}}{b^{2}+c^{2}}+\frac{(1+b^{2})^{2}}{c^{2}+a^{2}}+\frac{(1+c^{2})^{2


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trungdung19122002

trungdung19122002

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Cho $a;b;c\geqslant 0$ thỏa mãn $ab+bc+ca=1$ . Chứng minh rằng $\frac{(1+a^{2})^{2}}{b^{2}+c^{2}}+\frac{(1+b^{2})^{2}}{c^{2}+a^{2}}+\frac{(1+c^{2})^{2}}{a^{2}+b^{2}}\geqslant 8$






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