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Standard XI
Mathematics
NCERT
Question
Express the given complex number in the form
a
+
i
b
:
(
−
2
−
1
3
i
)
3
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Solution
Verified by Toppr
(
−
2
−
1
3
i
)
3
=
(
−
1
)
3
(
2
+
1
3
i
)
3
=
−
[
2
3
+
(
i
3
)
3
+
3
(
2
)
(
i
3
)
(
2
+
i
3
)
]
=
−
[
8
+
i
3
27
+
2
i
(
2
+
i
3
)
]
=
−
(
8
−
i
27
+
4
i
+
2
i
2
3
)
(
∵
i
3
=
−
i
)
=
−
(
8
−
i
27
+
4
i
−
2
3
)
(
∵
i
2
=
−
1
)
=
−
(
22
3
+
107
i
27
)
=
−
22
3
−
107
27
i
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