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Question

If x-1x=3+22, find the value of x3-1x3


Solution

In the given problem, we have to find the value of

Given

Cubing on both sides of we get

x-1x3=3+223

We shall use identity


27+162+182×3+182×22=x3-1x3-9-6227+162+542+72=x3-1x3-9-62

 

Hence the value of is .


Mathematics
RD Sharma (2017)
Standard IX

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