Show that (1 + α^2) (1 + β^2) (1 + γ^2) (1 + δ^2) = (1 – q + s)^2 + (p – r)^2

Описание к видео Show that (1 + α^2) (1 + β^2) (1 + γ^2) (1 + δ^2) = (1 – q + s)^2 + (p – r)^2

If α, β, γ, δ be the roots of the equation x^4 + px^3 + qx^2 + rx + s = 0, show that
(1 + α^2) (1 + β^2) (1 + γ^2) (1 + δ^2) = (1 – q + s)^2 + (p – r)^2
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