pnam2511

Tìm GTNN T=

*** Cannot compile formula:
(x-y)^{2}\left ( \frac{x^{2}}{y^{4}}+\frac{y^{2}}{x^{4}}-\frac{3}{xy} \right )

*** Error message:
Error: Nothing to show, formula is empty

Cho a,b,c>1 và a+b+c=4

Chứng minh

*** Cannot compile formula:
(a^{2}+1)(b^{2}+1)(c^{2}+1)< 24

*** Error message:
Error: Nothing to show, formula is empty

cho a,b,c > 0 và a+b+c=3

chứng minh

*** Cannot compile formula:
\frac{1}{4a^2+b^2+c^2}+\frac{1}{4b^2+a^2+c^2}+\frac{1}{4c^2+b^2+a^2} \leq \frac{1}{2}

*** Error message:
Error: Nothing to show, formula is empty

cho a,b,c>0 thỏa a+b+c=2

chứng minh

*** Cannot compile formula:
\frac{a}{\sqrt{4a+3bc}}+ \frac{b}{\sqrt{4b+3ac}}+ \frac{c}{\sqrt{4c+3ab}} \leqslant 1

*** Error message:
Error: Nothing to show, formula is empty