please do it step by step
and explain
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x+ 1/x = -1
(x + 1/x)³ = (-1)³
(x³ + 3x²*1/x +3x*1/x² + 1/x³) = -1
(x³ + 3x + 3/x + 1/x³) = -1
(x³ + 3(x+1/x) + 1/x³) = -1
x³ + 3*-1 + 1/x³ = -1
x³ - 3 + 1/x³ = -1
x³ - 1 = 1- 1/x³
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