Application of Algebric formula in the from of Roots.

α -β = √(α + β )2 - 4αβ
  • α2 +β2 =( α+β)2 - 2αβ
  • α2 + β2 = (α+β) (α - β)
  • α3 +β3 =(α+β)3 - 3αβ (α+β)
  • α3 - β3 = (α - β ) [ (α+β)2 - αβ ] 
  • α4 +β4 { (α + β)2 - 2αβ}2 - 2(αβ)2
  • α4 -β4 = (α +β ){(α+β)2 - 2αβ} √(α+β)2 - 4αβ
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