因式分解:(X-2Y)^2+(X-2Y)(2X+Y)=__
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/25 21:17:06
因式分解:(X-2Y)^2+(X-2Y)(2X+Y)=__
![因式分解:(X-2Y)^2+(X-2Y)(2X+Y)=__](/uploads/image/z/17243968-40-8.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%3A%28X-2Y%29%5E2%2B%28X-2Y%29%282X%2BY%29%3D__)
(X-2Y)^2+(X-2Y)(2X+Y)
=(X-2Y)[(X-2Y)-(2X+Y)]
=(X-2Y)(-X-3Y)
=-(X-2Y)(X+3Y)
=(X-2Y)[(X-2Y)-(2X+Y)]
=(X-2Y)(-X-3Y)
=-(X-2Y)(X+3Y)