(x+1)(x^2+1)(x^4+1）（x^8+1)(x^16+1)(x^32+1)(x^64+1)=?简便算法要求写出具体步骤,_数学解答

(x+1)(x^2+1)(x^4+1）（x^8+1)(x^16+1)(x^32+1)(x^64+1)=?简便算法
要求写出具体步骤,

人气：334 ℃　时间：2020-06-24 20:36:16

解答

乘以x-1,再除以x-1=(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)(x^32+1)(x^64+1)/(x-1)=(x^2-1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)(x^32+1)(x^64+1)/(x-1)=(x^4-1)(x^4+1)(x^8+1)(x^16+1)(x^32+1)(x^64+1)/(x-1)=(x^8-1)(x...