[不等式] interesting inequailty.

Let $a,b,c $ are real numbers with $a+b+c=3 $ Prove that:
\[ \frac{a^2+b^2c^2}{(b-c)^{2}}+\frac{b^2+c^2a^2}{(c-a)^{2}}+\frac{c^2+a^2b^2}{(a-b)^{2}}\geq 5 \]