Simplify this easy expression. It came in NSTSE 2015 Class 9 WB

Algebra Level 4

If a,b,ca, b, c are distinct numbers, find the value of

(a+b)2(bc)(ca)+(b+c)2(ab)(ca)+(c+a)2(ab)(bc). \frac {(a+b)^2}{(b-c)(c-a)} + \frac {(b+c)^2}{(a-b)(c-a)} + \frac {(c+a)^2}{(a-b)(b-c)}.

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