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Consider the following polynomial:
x3+75x−251=0 x^3 + 75x -251 = 0 x3+75x−251=0
If the roots of the polynomial are a a a , b b b and c c c .
Find: ∣2251⋅(∑a,b,c(a+b)3)∣ \left| \dfrac{2}{251} \cdot \left( \displaystyle \sum_{a, b, c} (a + b)^3 \right) \right| ∣∣∣∣∣∣2512⋅⎝⎛a,b,c∑(a+b)3⎠⎞∣∣∣∣∣∣
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