1.

If ∣∣∣∣∣3a+b+ca2+b2+c2a+b+ca2+b2+c2a3+b3+c3a2+b2+c2a3+b3+c3a4+b4+c4∣∣∣∣∣=∣∣∣∣αβγabca2b2c2∣∣∣∣2, then the value of α+β+γ is

Answer» If ∣∣
∣
∣
∣
3a+b+ca2+b2+c2a+b+ca2+b2+c2a3+b3+c3a2+b2+c2a3+b3+c3a4+b4+c4∣∣
∣
∣
∣
=∣∣
∣
∣
αβγabca2b2c2∣∣
∣
∣
2
,
then the value of α+β+γ is


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