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IF x-1/x=6 then find x3-1/x3   

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By evaluating the value of x you will get will be -1/5
put it in 3x-1/3x you will get 8/3=2.66
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x-1/x
=x/x-1/x
= -1/x
=6
 
= 3x-1/3x
= 3x/3x-1/3x
​= -1/3x
= -1/x *1/3
= 6*1/3
= 2
 
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x - 1/x = 6
(x - 1/x)3 = 6*6*6
x3 - 1/x3 - 3 (x)(1/x) (x - 1/x) = 216.  [(a - b)3 = a3 - b3 - 3ab(a-b) ]
x3 - 1/x3 - 3(6) = 216. ( Since x - 1/x = 6 )
x3 - 1/x3 = 234
 
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