(2+1)(2-1)(2^2+1)(2^4+1).(2^8+1)化简
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/03 11:28:44
![(2+1)(2-1)(2^2+1)(2^4+1).(2^8+1)化简](/uploads/image/z/201772-28-2.jpg?t=%282%2B1%29%282-1%29%282%5E2%2B1%29%282%5E4%2B1%29.%282%5E8%2B1%29%E5%8C%96%E7%AE%80)
(2+1)(2-1)(2^2+1)(2^4+1).(2^8+1)化简
(2+1)(2-1)(2^2+1)(2^4+1).(2^8+1)化简
(2+1)(2-1)(2^2+1)(2^4+1).(2^8+1)化简
连续用平方差公式
(2+1)(2-1)(2^2+1)(2^4+1).(2^8+1)
=(2^2-1)(2^2+1)(2^4+1).(2^8+1)
=(2^4-1)(2^4+1).(2^8+1)
=2^16-1