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Standard VIII
Mathematics
Question
Simplify
(
1
−
z
)
2
−
(
1
+
z
)
2
Open in App
Solution
Verified by Toppr
Given equation
(
1
−
2
)
2
−
(
1
+
z
)
2
Since, we know that
(
a
−
b
)
2
=
a
2
+
b
2
−
2
a
b
−
−
−
(
1
)
and
(
a
+
b
)
2
=
a
2
+
b
2
+
2
a
b
−
−
−
(
2
)
So, using formulas we get
(
1
−
z
)
2
=
1
2
+
z
2
−
2.1.
z
{
1
}
−
−
−
(
3
)
(
1
+
z
)
2
=
1
2
+
z
2
+
2.1.
z
{
2
}
−
−
−
(
4
)
Subtract
(
4
)
from
(
3
)
i.e.
(
1
−
z
)
2
−
(
1
+
z
)
2
=
1
+
z
2
−
2
z
−
1
−
z
2
−
2
z
=
−
4
z
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