The third expression

Algebra Level 3

\(a,b,c\) are 3 real numbers such that \(a\neq b\neq c\) and \({ a }^{ 2 }\left( b+c \right) ={ b }^{ 2 }\left( c+a \right) =2017\).

What is the value of \(M={ c }^{ 2 }\left( a+b \right) \)?

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