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: \[ \left| \dfrac{2}{251} \cdot \left( \displaystyle \sum_{a, b, c} (a + b)^3 \right) \right| \]
by
Priyansh Sangule