x2-2x+2y-y2因式分解

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/19 17:25:16
x2-2x+2y-y2因式分解x2-2x+2y-y2因式分解x2-2x+2y-y2因式分解x2-2x+2y-y2=﹙x+y﹚﹙x-y﹚-2﹙x-y﹚=﹙x-y﹚﹙x+y-2﹚x2-2x+2y-y2=x

x2-2x+2y-y2因式分解
x2-2x+2y-y2因式分解

x2-2x+2y-y2因式分解
x2-2x+2y-y2
=﹙x+y﹚﹙x-y﹚-2﹙x-y﹚
=﹙x-y﹚﹙x+y-2﹚

x2-2x+2y-y2
=x²-y²-2x+2y
=(x+y)(x-y)-2(x-y)
=(x-y)(x+y-2)

x2-2x+1-1+2y-y2=(x-1)^2-(y-1)^2 =(x-y)(x+y-2)

x2-y2-2(x-y)=(x-y)(x+y)-2(x-y)=(x-y)(x+y-2)

(x-y)(x+y-2)

=[4(x2+x-2)2-(x-3)2]* {[2(x+2)(x-1)]2+(x-3)2} =(2x2+3x-7)(2x-1)(x+1) {[2(x+2)(x-1)]2+(x-3)2} 4xy+2y-