1.(16x^2+1)(4x^2+1)(2x+1)(1-2x)2.(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+11.(16x^4+1)(4x^2+1)(2x+1)(1-2x)第一题是这样的……抱歉2.(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1第二题是这样的……抱歉
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/02 01:30:28
![1.(16x^2+1)(4x^2+1)(2x+1)(1-2x)2.(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+11.(16x^4+1)(4x^2+1)(2x+1)(1-2x)第一题是这样的……抱歉2.(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1第二题是这样的……抱歉](/uploads/image/z/5176509-69-9.jpg?t=1.%2816x%5E2%2B1%29%284x%5E2%2B1%29%282x%2B1%29%281-2x%292.%282%2B1%EF%BC%89%EF%BC%882%5E2%2B1%29%282%5E4%2B1%29%282%5E8%2B1%29%282%5E16%2B1%29%2B11.%2816x%5E4%2B1%29%284x%5E2%2B1%29%282x%2B1%29%281-2x%29%E7%AC%AC%E4%B8%80%E9%A2%98%E6%98%AF%E8%BF%99%E6%A0%B7%E7%9A%84%E2%80%A6%E2%80%A6%E6%8A%B1%E6%AD%892.%282%2B1%29%282%5E2%2B1%29%282%5E4%2B1%29%282%5E8%2B1%29%282%5E16%2B1%29%2B1%E7%AC%AC%E4%BA%8C%E9%A2%98%E6%98%AF%E8%BF%99%E6%A0%B7%E7%9A%84%E2%80%A6%E2%80%A6%E6%8A%B1%E6%AD%89)
1.(16x^2+1)(4x^2+1)(2x+1)(1-2x)2.(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+11.(16x^4+1)(4x^2+1)(2x+1)(1-2x)第一题是这样的……抱歉2.(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1第二题是这样的……抱歉
1.(16x^2+1)(4x^2+1)(2x+1)(1-2x)
2.(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1
1.(16x^4+1)(4x^2+1)(2x+1)(1-2x)
第一题是这样的……抱歉
2.(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1
第二题是这样的……抱歉
1.(16x^2+1)(4x^2+1)(2x+1)(1-2x)2.(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+11.(16x^4+1)(4x^2+1)(2x+1)(1-2x)第一题是这样的……抱歉2.(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1第二题是这样的……抱歉
1
(16x^4+1)(4x^2+1)(2x+1)(1-2x)=(1+16x^4)(1+4x^2)[(1+2x)(1-2x)]=(1+16x^2)[(1+4x^2)(1-4x^2)]
=(1+16x^4)(1-16x^4)=)=1-256x^4
2
(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1=(2^4-1)(2^4+1)(2^8+1)(2^16+1)+1
=(2^8-1)(2^8+1)(2^16+1)+1=(2^16-1)(2^16+1)+1=(2^32-1)+1
=2^32
3
9×11×101×10001=(10-1)(10+1)(10^2+1)(10^4+1)
=(10^2-1)(10^2+1)(10^4+1)=(10^4-1)(10^4+1)=10^8+1=100000001