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nhokdangyeu01

$\frac{a^m-b^m}{a^n+b^n}$ \geq $\frac{a^n-b^n}{a^n+b^n}$
\Leftrightarrow $a^{m+n}+a^mb^n-a^nb^m-b^{m+n}$ \geq $a^{m+n}+a^nb^m-a^mb^n-b^{m+n}$
\Leftrightarrow $a^mb^n$ \geq $a^nb^m$
\Leftrightarrow $a^nb^m(a^{m-n}.b^{n-m}-1)$ \geq 0
Đúng do a>b>0 và m>n
 
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