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Question

If x−1x=2, then x3−1x3 is

A
14
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B
16
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C
15
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D
12
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Solution

The correct option is A 14
Given, x1x=2
Since, (x1x)3=x31x33x.1x(x1x)

x31x3=(x1x)3+3x.1x(x1x)

=(2)3+3(2)=8+6=14
Option A is correct.

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