智慧留学只能在北京:(2+1)(2^2+1)(2^4+1)(2^8+1) +1

来源:百度文库 编辑:查人人中国名人网 时间:2024/05/10 11:15:29
利用平方差公式计算

(2+1)(2^2+1)(2^4+1)(2^8+1) +1
=(2-1)*(2+1)(2^2+1)(2^4+1)(2^8+1) +1
=2^16-1+1
=2^16

(2+1)(2^2+1)(2^4+1)(2^8+1) +1
=(2-1)*(2+1)(2^2+1)(2^4+1)(2^8+1) +1
=2^16-1+1
=2^16

原式等于=(2+1)(2^2+1)(2^4+1)(2^8+1) +1
=(2-1)*(2+1)(2^2+1)(2^4+1)(2^8+1) +1
=2^16-1+1
=2^16