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