(x+1/x)(x2+1/x2)(x4+1/x4)(x8+1/x8)(x16+1/x16)(x2-1)

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(x+1/x)(x2+1/x2)(x4+1/x4)(x8+1/x8)(x16+1/x16)(x2-1)
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(x+1/x)(x2+1/x2)(x4+1/x4)(x8+1/x8)(x16+1/x16)(x2-1)
(x+1/x)(x2+1/x2)(x4+1/x4)(x8+1/x8)(x16+1/x16)(x2-1)

(x+1/x)(x2+1/x2)(x4+1/x4)(x8+1/x8)(x16+1/x16)(x2-1)
原式=(x-1/x)(x+1/x)(x2+1/x2)(x4+1/x4)(x8+1/x8)(x16+1/x16)(x2-1)除以(x-1/x)
=(x^2-1/x^2)(x2+1/x2)(x4+1/x4)(x8+1/x8)(x16+1/x16)(x2-1)除以(x-1/x)
=(x32-1/x32)x
=x33-1/x31.我是数学百事通,数学问题想不通,快上数学百事通!

原式=(x-1/x)(x+1/x)(x2+1/x2)(x4+1/x4)(x8+1/x8)(x16+1/x16)(x2-1)除以(x-1/x)
=(x^2-1/x^2)(x2+1/x2)(x4+1/x4)(x8+1/x8)(x16+1/x16)(x2-1)除以(x-1/x)
=(x32-1/x32)x
=x33-1/x31.