Question

[Dũng Kẹo Dẻo]

M=\(\left[\frac{a+b}{\left(b-c\right)\left(c-a\right)}+\frac{b+c}{\left(c-a\right)\left(a-b\right)}+\frac{c-a}{\left(b-c\right)\left(a-b\right)}\right]^{2012}\)

CMR: M đạt giá trị bằng\(2013^{2012}\)khi\(a\ne b\ne c\)