分解因式:9(x-y)2+12(x2-y2)+4(x+y)2

分类: 作业答案 • 2022-03-04 22:38:17

问题描述：

分解因式:9(x-y)*2+12(x*2-y*2)+4(x+y)*2

答

9(x-y)^2+12(x^2-y^2)+4(x+y)^2
=[3(x-y)]^2+2*3(x-y)*2(x+y)+[2(x+y)]^2
=[3(x-y)+2(x+y)]^2
=(5x-y)^2

分解因式:9(x-y)*2+12(x*2-y*2)+4(x+y)*2