# 700 followers problem!

Algebra Level 3

$\large \left(\dfrac{a^2+b^2}{c^2}\right)\left[\left(\dfrac{a^3+b^3+c^3}{abc}\right)^6 - 29\right]$

Consider a polynomial such that its roots are in arithmetic progression and the squares of these roots are also in an arithmetic progression in the same order.

If the roots are $$a,b,c$$ such that $$a,b,c \neq 0$$ , find the value of the said expression above.

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