[Toán 10] Câu BĐT trong đề thi tinh Nghệ An cần gấp

T

tell_me_goobye

Given a,b,c,d >0 and abcd=1
prove that
[TEX] 4^4(a^4+1)(b^4+1)(c^4+1)(d^4+1) \geq (\sum a+\sum \frac{1}{a} )^4[/TEX]
 
T

tell_me_goobye

given a,b,c >0 such as a+b+c=3
prove that

[TEX] \frac{a+1}{ab+1} +\frac{b+1}{bc+1} +\frac{c+1}{ca+1} \geq 3 [/TEX]
 
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