问题
选择题
若(x-2y)2=(x+2y)2+m,则m等于( )
A.4xy
B.-4xy
C.8xy
D.-8xy
答案
(x-2y)2,
=x2-4xy+4y2,
=x2-8xy+4xy+4y2,
=(x+2y)2-8xy,
∴m=-8xy.
故选D.
若(x-2y)2=(x+2y)2+m,则m等于( )
A.4xy
B.-4xy
C.8xy
D.-8xy
(x-2y)2,
=x2-4xy+4y2,
=x2-8xy+4xy+4y2,
=(x+2y)2-8xy,
∴m=-8xy.
故选D.