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

Algebra Level 4

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

$\frac {(a+b)^2}{(b-c)(c-a)} + \frac {(b+c)^2}{(a-b)(c-a)} + \frac {(c+a)^2}{(a-b)(b-c)}.$

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