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Mathematics
Mathematics
Problem
Given that
x
,
y
,
z
x, y, z
x
,
y
,
z
are positive reals such that
x
y
z
=
32
xyz = 32
x
y
z
=
32
. The minimum value of
x
2
+
4
x
y
+
4
y
2
+
2
z
2
x^2 + 4xy + 4y^2 + 2z^2
x
2
+
4
x
y
+
4
y
2
+
2
z
2
is equal to: (a) 64 (b) 256 (c) 96 (d) 216
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