x2-2x+2y-y2因式分解

问题描述:

x2-2x+2y-y2因式分解

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

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

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