9(x-y)^2-(x+y)^2因式分解

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/06 03:02:34
9(x-y)^2-(x+y)^2因式分解

9(x-y)^2-(x+y)^2因式分解
9(x-y)^2-(x+y)^2因式分解

9(x-y)^2-(x+y)^2因式分解
9(x-y)^2-(x+y)^2 = [3(x-y)]^2 -(x+y)^2 = [3(x-y)+(x+y)]*[3(x-y)-(x+y)]=4(2x-y)(x-2y)

9(x-y)^2-(x+y)^2=(3x-3y)^2-(x+y)^2=(3x-3y+x+y)(3x-3y-x-y)=(4x-2y)(2x-4y)=4(2x-y)(x-2y)

( 3(x-y) + (x+y) )*( 3(x-y) - (x+y) )