问题
选择题
把多项式1-x2+2xy-y2分解因式的结果是( )
A.(1-x-y)(1+x-y)
B.(1+x-y)(1-x+y)
C.(1-x-y)(1-x+y)
D.(1+x-y)(1+x+y)
答案
1-x2+2xy-y2分,
=1-(x2-2xy+y2),
=1-(x-y ) 2,
=(1+x-y)(1-x+y).
故选B.
把多项式1-x2+2xy-y2分解因式的结果是( )
A.(1-x-y)(1+x-y)
B.(1+x-y)(1-x+y)
C.(1-x-y)(1-x+y)
D.(1+x-y)(1+x+y)
1-x2+2xy-y2分,
=1-(x2-2xy+y2),
=1-(x-y ) 2,
=(1+x-y)(1-x+y).
故选B.