两题有关乘法公式的计算题(初一下苏教版)(2+1)(2^2+1)(2^4+1)(2^8+1)-2^16=?(10+1)(10^2+1)(10^4+1)(10^8+1)...(10^32+1)=?万谢!
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 12:33:27
![两题有关乘法公式的计算题(初一下苏教版)(2+1)(2^2+1)(2^4+1)(2^8+1)-2^16=?(10+1)(10^2+1)(10^4+1)(10^8+1)...(10^32+1)=?万谢!](/uploads/image/z/5943167-71-7.jpg?t=%E4%B8%A4%E9%A2%98%E6%9C%89%E5%85%B3%E4%B9%98%E6%B3%95%E5%85%AC%E5%BC%8F%E7%9A%84%E8%AE%A1%E7%AE%97%E9%A2%98%EF%BC%88%E5%88%9D%E4%B8%80%E4%B8%8B%E8%8B%8F%E6%95%99%E7%89%88%EF%BC%89%EF%BC%882%2B1%29%282%5E2%2B1%29%282%5E4%2B1%29%282%5E8%2B1%29-2%5E16%3D%3F%2810%2B1%29%2810%5E2%2B1%29%2810%5E4%2B1%29%2810%5E8%2B1%29...%2810%5E32%2B1%29%3D%3F%E4%B8%87%E8%B0%A2%21)
两题有关乘法公式的计算题(初一下苏教版)(2+1)(2^2+1)(2^4+1)(2^8+1)-2^16=?(10+1)(10^2+1)(10^4+1)(10^8+1)...(10^32+1)=?万谢!
两题有关乘法公式的计算题(初一下苏教版)
(2+1)(2^2+1)(2^4+1)(2^8+1)-2^16=?
(10+1)(10^2+1)(10^4+1)(10^8+1)...(10^32+1)=?
万谢!
两题有关乘法公式的计算题(初一下苏教版)(2+1)(2^2+1)(2^4+1)(2^8+1)-2^16=?(10+1)(10^2+1)(10^4+1)(10^8+1)...(10^32+1)=?万谢!
(2+1)*(2^2+1)*(2^4+1)*(2^8+1)-2^16
=(2-1)(2+1)*(2^2+1)*(2^4+1)*(2^8+1)-2^16
=(2^2-1)(2^2+1)*(2^4+1)*(2^8+1)-2^16
=(2^4-1)(2^4+1)*(2^8+1)-2^16
=(2^8-1)(2^8+1)-2^16
=2^16-1-2^16
=-1
(10+1)(10^2+1)(10^4+1)(10^8+1)...(10^32+1)
(10+1)(10^2+1)(10^4+1)(10^8+1).(10^32+1)
=1/9*(10-1)(10+1)(10^2+1)(10^4+1)(10^8+1)...(10^32+1)
=1/9*(10^2-1)(10^2+1)(10^4+1)(10^8+1)...(10^32+1)
==1/9*(10^4-1)(10^4+1)(10^8+1)...(10^32+1)
=...
=(10^64-1)/9