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Problem
Problem
If
α
,
β
,
γ
\alpha, \beta, \gamma
α
,
β
,
γ
are the roots of the cubic equation
x
3
+
q
x
+
r
=
0
x^3 + qx + r = 0
x
3
+
q
x
+
r
=
0
, then find the equation whose roots are
(
α
−
β
)
2
,
(
β
−
γ
)
2
,
(
γ
−
α
)
2
(\alpha - \beta)^2, (\beta - \gamma)^2, (\gamma - \alpha)^2
(
α
−
β
)
2
,
(
β
−
γ
)
2
,
(
γ
−
α
)
2
.
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