问题
选择题
若x2+y2=(x-y)2+M=(x+y)2-N,则M、N分别是( )
A.M=2xy,N=-2xy
B.M=N=2xy
C.M=N=-2xy
D.M=-2xy,N=2xy
答案
∵(x-y)2=x2-2xy+y2,(x+y)2=x2+2xy+y2,
∴M=2xy,N=2xy,
即M=N=2xy.
故选B.
若x2+y2=(x-y)2+M=(x+y)2-N,则M、N分别是( )
A.M=2xy,N=-2xy
B.M=N=2xy
C.M=N=-2xy
D.M=-2xy,N=2xy
∵(x-y)2=x2-2xy+y2,(x+y)2=x2+2xy+y2,
∴M=2xy,N=2xy,
即M=N=2xy.
故选B.