分解因式:(y-x)²-2x-2y错了,是(y-x)²+2x-2y~

问题描述:

分解因式:(y-x)²-2x-2y
错了,是(y-x)²+2x-2y~

(x-1)²+(y-1)²-2(xy+1)

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

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

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

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