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Byju's Answer
Standard XII
Mathematics
Complex Numbers
Express : a+...
Question
Express :
(
a
+
i
b
)
2
a
−
i
b
−
(
a
−
i
b
)
2
a
+
i
b
in the forum
x
+
i
y
Open in App
Solution
(
a
+
i
b
)
2
a
−
i
b
−
(
a
−
i
b
)
2
a
+
i
b
=
(
a
+
i
b
)
3
−
(
a
−
i
b
)
3
a
2
+
b
2
=
a
3
−
b
3
i
+
3
a
i
b
(
a
+
i
b
)
−
a
3
+
b
3
i
+
3
a
b
i
(
a
−
i
b
)
a
2
+
b
2
=
3
a
b
i
(
a
+
i
b
+
a
−
i
b
)
a
2
+
b
2
=
6
a
2
b
i
a
2
+
b
2
=
0
+
6
a
2
b
a
2
+
b
2
i
Here
x
=
0
,
y
=
6
a
2
b
a
2
+
b
2
Suggest Corrections
0
Similar questions
Q.
Put the following in the form A + iB :
(
a
+
i
b
)
2
(
a
−
i
b
)
−
(
a
−
i
b
)
2
(
a
+
i
b
)
Q.
The real and imaginary parts of
(
a
+
i
b
a
−
i
b
)
2
−
(
a
−
i
b
a
+
i
b
)
2
are
Q.
State true or false:
(
a
+
i
b
)
2
(
a
−
i
b
)
−
(
a
−
i
b
)
2
(
a
+
i
b
)
=
2
b
(
3
a
2
−
b
2
)
a
2
+
b
2
i
.
Q.
Express in the form
A
+
i
B
(1)
3
+
5
i
2
−
3
i
(2)
√
3
−
i
√
2
2
√
3
−
i
√
2
(3)
1
+
i
1
−
i
(4)
(
1
+
i
)
2
3
−
i
(5)
(
a
+
i
b
)
2
a
−
i
b
−
(
a
−
i
b
)
2
a
+
i
b
Q.
If
(
a
1
+
i
b
1
)
(
a
2
+
i
b
2
)
.
.
.
(
a
n
+
i
b
n
)
=
A
+
i
B
then
(
a
2
1
+
b
2
1
)
(
a
2
2
+
b
2
2
)
.
.
.
(
a
2
n
+
b
2
n
)
=
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