what is the equation of alpha + beta whole cube
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We can write,
(α+β)^3 = (α+β)*(α+β)*(α+β)
= (α+β)*(α^2+2αβ+β^2)
= α^3+β^3+3αβ(α+β)
=>
(α+β)^3 -3αβ(α+β) = α^3+β^3
(α+β){(α+β)^2 -3αβ} = α^3+β^3
(α+β)(α^2+β^2+2αβ-3αβ) = α^3+β^3
(α+β)(α^2+β^2-αβ) = α^3+β^3
=>
α^3+β^3 = (α+β)(α^2+β^2-αβ)
(α+β)^3 = (α+β)*(α+β)*(α+β)
= (α+β)*(α^2+2αβ+β^2)
= α^3+β^3+3αβ(α+β)
=>
(α+β)^3 -3αβ(α+β) = α^3+β^3
(α+β){(α+β)^2 -3αβ} = α^3+β^3
(α+β)(α^2+β^2+2αβ-3αβ) = α^3+β^3
(α+β)(α^2+β^2-αβ) = α^3+β^3
=>
α^3+β^3 = (α+β)(α^2+β^2-αβ)
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