# Question 7

Algebra Level 3

Assume that real numbers, a, b and c, satisfy these formulas $\left\{ \begin{array}{l} a + b + c = 3\\ {a^2} + {b^2} + {c^2} = 4 \end{array} \right.$ Evaluate $\frac{{{a^2} + {b^2}}}{{2 - c}} + \frac{{{b^2} + {c^2}}}{{2 - a}} + \frac{{{c^2} + {a^2}}}{{2 - b}}$

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