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Mathematics
Mathematics
Problem
If
(
x
+
i
y
)
1
/
3
=
a
+
i
b
(x + iy)^{1/3} = a + ib
(
x
+
i
y
)
1/3
=
a
+
ib
, where
i
=
−
1
i = \sqrt{-1}
i
=
−
1
, then
(
x
a
+
y
b
)
\left(\frac{x}{a} + \frac{y}{b}\right)
(
a
x
+
b
y
)
is equal to a.
4
a
2
b
2
4a^2b^2
4
a
2
b
2
b.
4
(
a
2
−
b
2
)
4(a^2 - b^2)
4
(
a
2
−
b
2
)
c.
4
a
2
−
b
2
4a^2 - b^2
4
a
2
−
b
2
d.
a
2
+
b
2
a^2 + b^2
a
2
+
b
2
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