因式分解(2m-3n)^2-(2m+3n)(2m-3n)+(2m+3n)^2

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/15 23:21:26

因式分解(2m-3n)^2-(2m+3n)(2m-3n)+(2m+3n)^2
因式分解(2m-3n)^2-(2m+3n)(2m-3n)+(2m+3n)^2

因式分解(2m-3n)^2-(2m+3n)(2m-3n)+(2m+3n)^2
(2m-3n)^2-(2m+3n)(2m-3n)+(2m+3n)^2
=(2m-3n)^2-2(2m+3n)(2m-3n)+(2m+3n)^2+(2m+3n)(2m-3n)
=(2m-3n-2m-3n)^2+(2m+3n)(2m-3n)
=36n^2+4m^2-9n^2
=27n^2+4m^2

配方法、公式法
(2m-3n)^2-(2m+3n)(2m-3n)+(2m+3n)^2
=(2m-3n)^2-2(2m+3n)(2m-3n)+(2m+3n)^2+(2m+3n)(2m-3n)
=(2m-3n-2m-3n)^2+(2m+3n)(2m-3n)
=36n^2+4m^2-9n^2
=27n^2+4m^2

新年快乐!