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此道题怎么解(x+1/x)(xx+1/xx)(xxxx+1/xxxx)(x8次方+1/x的8次方)(x的16次方+x1/x16次方)(xx-1)
题目详情
此道题怎么解(x+1/x)(xx+1/xx)(xxxx+1/xxxx)(x8次方+1/x的8次方)(x的16次方+x1/x16次方)(xx-1)
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答案和解析
(x+1/x)(xx+1/xx)(xxxx+1/xxxx)(x8次方+1/x的8次方)(x的16次方+1/x16次方)(xx-1) =(x+1/x)(x^2+1/x^2)(x^4+1/x^4)(x^8+1/x^8)(x^16+1/x^16)(x^2-1)=(x^2-1)(x+1/x)(x^2+1/x^2)(x^4+1/x^4)(x^8+1/x^8)(x^16+1/x^16)=...
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