将下列式子因式分解:x-x2-y+y2=_.
问题描述:
将下列式子因式分解:x-x2-y+y2=______.
答
原式=(x-y)-(x2-y2)
=(x-y)-(x+y)(x-y)
=(x-y)(1-x-y),
故答案为:(x-y)(1-x-y).