运用乘法公式计算(2+1)(2^2 +1)(2^4+1)(2^8+1)(2^16+1)+1的值
2个回答
展开全部
(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
=(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
本回答被提问者采纳
已赞过
已踩过<
评论
收起
你对这个回答的评价是？
展开全部
(2+1)(2^2 +1)(2^4+1)(2^8+1)(2^16+1)+1
=1*(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
=1*(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
已赞过
已踩过<
评论
收起
你对这个回答的评价是？
推荐律师服务：
若未解决您的问题，请您详细描述您的问题，通过百度律临进行免费专业咨询
