(x+1/x)(x^2-1+1/x^2) expansion
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Step-by-step explanation:
(x+1/x)(x^2-1+1/x^2)
=x*x^2-x+(x/x^2)+(x^2/x)-(1/x)+(1/x^2.x)
=x^3-x+1/x+x-1/x+1/x^3
=x^3+(1/x^3)
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