find the value of (2-w) (2-w^2) (2 _w^4) (2 _w^5)
Answers
Answered by
3
Answer:
Kindly refer to the Explanation.
Explanation:
Since,
w
∈
C
,
w
=
3
√
1
,
we have,
w
3
−
1
=
0
.
∴
(
w
−
1
)
(
w
2
+
w
+
1
)
=
0
,
or
,
w
2
+
w
=
−
1
...
...
(
⋆
)
.
The Expression
=
{
(
2
−
w
)
(
2
−
w
2
)
}
{
(
2
−
w
10
)
(
2
−
w
11
)
}
,
=
{
4
−
2
(
w
+
w
2
)
+
w
3
}
{
4
−
2
(
w
10
+
w
11
)
+
w
21
}
,
=
{
4
−
2
(
−
1
)
+
1
}
{
4
−
2
w
9
(
w
+
w
2
)
+
1
7
}
,
=
(
7
)
{
4
−
2
(
1
3
)
(
−
1
)
+
1
}
,
=
(
7
)
(
7
)
,
=
49
, as desred!
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