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

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/07/15 08:53:42
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