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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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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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