[tatari/nightmare]

เอาโจทย์มาเพิ่มให้ครับ(easy inequality!)
Problem Let $a,b,c$ are distinct real numbers,then prove that
$$\frac{a^2}{(b-c)^2}+\frac{b^2}{(c-a)^2}+\frac{c^2}{(a-b)^2}\geq 2$$

Problem Let $a,b,c>0$,prove that
$$\sum_{cyc} \frac{a^2}{a^+ab+b^2}\geq 1$$