数学问题:简便计算;3.7654^2+0.4692×3.7654+0.2346^2步骤写清楚,谢谢啦

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/06 06:46:35

数学问题:简便计算;3.7654^2+0.4692×3.7654+0.2346^2步骤写清楚,谢谢啦
数学问题:简便计算;3.7654^2+0.4692×3.7654+0.2346^2
步骤写清楚,谢谢啦

数学问题:简便计算;3.7654^2+0.4692×3.7654+0.2346^2步骤写清楚,谢谢啦
利用a^2+2ab+b^2=(a+b)^2
3.7654^2+0.4692×3.7654+0.2346^2
=3.7654^2+2*0.2346×3.7654+0.2346^2
=(3.7654+0.2346)^2
=4^2
=16

3.7654^2+0.4692×3.7654+0.2346^2
=3.7654^2+(2×0.2346×3.7654)+0.2346^2
=(3.7654+0.2346)^2 (这步应该学过吧?)
=4^2
=16