Question

If x-1/x= 3 Evaluate x³=1/x³​

Answer 1

x-1/x=3

{x-1/x}=(3)³

(x)³-(1/x) ³+3*x*1/x(x-1/x) =27

x³-1/x³+3*x*(-1/x) {x-1/x}=27

x³-1/x³+3*x*1/x²-3*x²*1/x=27

x³-1/x³+3/x-3x=27

x³-1/x³=27-3/x+3x

27+3(x-1/x)

27+3*3

36

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