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Mathematics
Mathematics
Problem
If
α
\alpha
α
,
β
\beta
β
,
γ
\gamma
γ
are the roots of
x
3
−
p
x
2
+
q
x
−
r
=
0
x^3 - px^2 + qx - r = 0
x
3
−
p
x
2
+
q
x
−
r
=
0
, find : a.
∑
α
3
\sum \alpha^3
∑
α
3
b.
α
2
(
β
+
γ
)
+
β
2
(
γ
+
α
)
+
γ
2
(
α
+
β
)
\alpha^2(\beta + \gamma) + \beta^2(\gamma + \alpha) + \gamma^2(\alpha + \beta)
α
2
(
β
+
γ
)
+
β
2
(
γ
+
α
)
+
γ
2
(
α
+
β
)
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