a的32次幂减一等于几
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/30 21:10:03
![a的32次幂减一等于几](/uploads/image/z/176858-26-8.jpg?t=a%E7%9A%8432%E6%AC%A1%E5%B9%82%E5%87%8F%E4%B8%80%E7%AD%89%E4%BA%8E%E5%87%A0)
a的32次幂减一等于几
a的32次幂减一等于几
a的32次幂减一等于几
原是等于a^32-1
等于a^32-1^32
等于(a^16-1)(a^16-1)
a^32-1
=(a^16+1)(a^16-1)
=(a^16+1)(a^8+1)(a^8-1)
=(a^16+1)(a^8+1)(a^4+1)(a^4-1)
=(a^16+1)(a^8+1)(a^4+1)(a^2+1)(a^2-1)
=(a^16+1)(a^8+1)(a^4+1)(a^2+1)(a+1)(a-1)
a^32-1
a^32-1=(a-1)*(1+a+a^2+a^3+....+a^31)
或
a^32-1
=(a^16+1)(a^16-1)
=(a^16+1)(a^8+1)(a^8-1)
=(a^16+1)(a^8+1)(a^4+1)(a^2+1)(a+1)(a-1)
(a-1)的32次幂