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Algebra Level 2

Given that aa, bb and cc are real numbers such that abc=1abc=1, find the value of (aab+a+1+bbc+b+1+cca+c+1)2.\left(\frac{a}{ab+a+1}+\frac{b}{bc+b+1}+\frac{c}{ca+c+1}\right)^2.

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