作业帮(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)
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/06 07:26:31
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(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+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+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+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-1/x)(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-1/x)
=(x^32-1/x^32)(x^2-1)x/(x^2-1)
=x(x^32-1/x^32)
=x^33-1/x^31
应该是这样的
(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-1/x)(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-1/x)
=(x^32-1/x^32)(x^2-1)x/(x^2-1)
=x(x^32-1/x^32)
=x^33-1/x^31
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分解因式----（X*X-X)(X*X-X-2)+1
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