Not Really Big Power

Algebra Level 3

Given that 1=ab+c+ba+c+ca+b, 1= \frac {a}{b+c} + \frac {b}{a+c} + \frac {c}{a+b},

what is the value of

a2b+c+b2a+c+c2a+b? \frac {a^2}{b+c} + \frac {b^2}{a+c} + \frac {c^2}{a+b} ?

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