# Is this even solvable?

Algebra Level 5

Consider the following polynomial:

$x^3 + 75x -251 = 0$

If the roots of the polynomial are $$a$$ , $$b$$ and $$c$$ .

Find: $\left| \dfrac{2}{251} \cdot \left( \displaystyle \sum_{a, b, c} (a + b)^3 \right) \right|$

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