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Question

If x+1x=5 find x3+1x3

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Solution

Formula to be used : (a+b)3=a3+b3+3ab(a+b)
x+1x=5
Cubing on both sides:
(x+1x)3=53
x3+1x3+3x1x(x+1x)=125
x3+1x3+15=125
x3+1x3=12515=110

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