运用平方差公式计算(1+1⼀2)(1+1⼀2^2)(1+1⼀2^4)(1+1⼀2^8)+1⼀2^15

运用平方差公式计算(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)+1/2^15
2025-02-22 14:04:19
推荐回答(2个)
回答1:

(1+1/2)(1-1/2)=1-1/2^2
(1+1/2^2)(1-1/2^2)=1-1/2^4
(1+1/2^4)(1-1/2^4)=1-1/2^8
(1+1/2^8)(1-1/2^8)=1-1/2^16
(1+1/2^8)(1-1/2^8)=(1+1/2^8)(1+1/2^4)(1+2^2)(1+1/2)(1-1/2)=1-1/2^16
同时乘二,移项
原式=2

回答2:

好!!!!!!!!!!!回答的很精彩