x^2-xy-1+y^2因式分解

2025-03-06 22:02:43
推荐回答(3个)
回答1:

应该是不能分解

回答2:

原式=(x+1)(x-1)+y(1-x)
=(x-1)(x+1-y)

回答3:

x²-2xy-1+y²
=(x²-2xy+y²)-1
=(x-y)²-1
=[(x-y)-1]×[(x-y)+1]
=(x-y-1)(x-y+1)