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