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Question

If (x+1x)2=9, then the value of x3+1x3 is-

A
18
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B
12
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C
24
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D
6
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Solution

The correct option is B 18
(x+1x)2=9
x+1x=3
(x+1x)3=27
x3+1x3+3(x+1x)=27
x3+1x3+3×3=27
x3+1x3=18

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