作业帮 > 数学 > 作业

3*5*17*(2^8+1)简便方法计算,40又2/3*39又1/3

来源:学生作业帮 编辑:搜狗做题网作业帮 分类:数学作业 时间:2024/06/14 00:17:14
3*5*17*(2^8+1)简便方法计算,40又2/3*39又1/3
3*5*17*(2^8+1)简便方法计算,40又2/3*39又1/3
3*5*17*(2^8+1)
=3*5*17*(2^8+1)(2^8-1)*除以(2^8-1)
=3*5*17*(2^8+1)(2^8-1)*除以[(2^4-1)(2^4+1)]
=3*5*17*(2^8+1)(2^8-1)*除以[(2^2-1)(2^2+1)(2^4+1)]
=3*5*17*(2^8+1)(2^8-1)*除以[(2-1)(2+1)(2^2+1)(2^4+1)]
=3*5*17*(2^8+1)(2^8-1)*除以[1*3*5*17]
=(2^8+1)(2^8-1)
=2^16-1
=65535
40又2/3*39又1/3
=(40+2/3)(40-2/3)
=40^2-(2/3)^2
=1600-4/9
=1599又5/9