(x+1/x)(x^2+1/x^2)(x^4+1/x^4)……(x^16+1/x^16)(x^2-1)

来源:学生作业帮助网 编辑:六六作业网 时间:2025/02/01 10:36:46
(x+1/x)(x^2+1/x^2)(x^4+1/x^4)……(x^16+1/x^16)(x^2-1)(x+1/x)(x^2+1/x^2)(x^4+1/x^4)……(x^16+1/x^16)(x^2-

(x+1/x)(x^2+1/x^2)(x^4+1/x^4)……(x^16+1/x^16)(x^2-1)
(x+1/x)(x^2+1/x^2)(x^4+1/x^4)……(x^16+1/x^16)(x^2-1)

(x+1/x)(x^2+1/x^2)(x^4+1/x^4)……(x^16+1/x^16)(x^2-1)
只要分子分母同时乘以(x-1/x)即可很容易得出结果的.

只要分子分母同时乘以(x-1/x)即可很容易得出结果的。
行不?

456789

(x+1/x)(x^2+1/x^2)(x^4+1/x^4)……(x^16+1/x^16)(x^2-1)
=x(x-1/x) (x+1/x)(x^2+1/x^2)(x^4+1/x^4)……(x^16+1/x^16)
=x (x^2-1/x^2)(x^2+1/x^2)(x^4+1/x^4)……(x^16+1/x^16)
= ..........
=x(x^32-1/x^32)
=x^33-1/x^31