Find the product of (x - 1/x) (x + 1/x)
(x2 + 1/x2) *
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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
8
−
x
8
1
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