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Mathematics
Mathematics
Problem
If
(
x
+
i
y
)
3
=
u
+
i
v
(x + iy)^3 = u + iv
(
x
+
i
y
)
3
=
u
+
i
v
, then show that
u
x
+
v
y
=
4
(
x
2
−
y
2
)
\frac{u}{x} + \frac{v}{y} = 4(x^2 - y^2)
x
u
+
y
v
=
4
(
x
2
−
y
2
)
.
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