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Mathematics
Problem
If the equations
x
2
+
p
x
+
q
=
0
x^2 + px + q = 0
x
2
+
p
x
+
q
=
0
(
p
,
q
∈
R
p, q \in \mathbb{R}
p
,
q
∈
R
) and
x
3
+
3
x
2
+
5
x
+
3
=
0
x^3 + 3x^2 + 5x + 3 = 0
x
3
+
3
x
2
+
5
x
+
3
=
0
have two roots common, then find the value of
(
p
+
q
)
(p + q)
(
p
+
q
)
.
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