Find the product (x - 1/x) (x+1/x) (x*+1/x*) (x* + 1/x*) using identities
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Answer:
As we know that
(a+b)(a−b)=a
2
−b
2
(x−
x
1
)(x+
x
1
)(x
2
+
x
2
1
)(x
4
+
x
4
1
)=(x
2
−
x
2
1
)(x
2
+
x
2
1
)(x
4
+
x
4
1
)
=((x
2
)
2
−(
x
2
1
)
2
)(x
4
+
x
4
1
)=(x
4
−
x
4
1
)(x
4
+
x
4
1
)=(x
4
)
2
−(
x
4
1
)
2
= x power 8 - 1/ x power 8
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