Chứng minh rằng: \(\left(a^2+b^2+c^2\right)\left[\left(\dfrac{1}{\left(a-b\right)^2}+\dfrac{1}{\left(b-c\right)^2}+\dfrac{1}{\left(c-a\right)^2}\right)\right]\ge\dfrac{9}{2}\)

Chứng minh rằng: 
\(\left(\dfrac{a+b}{a-b}\right)^2+\left(\dfrac{b+c}{b-c}\right)^2+\left(\dfrac{c+a}{c-a}\right)^2\ge2\)