问题
选择题
若(x-y)2=0,则下列成立的等式是( )
A.x2+y2=2xy
B.x2+y2=-2xy
C.x2+y2=0
D.(x+y)2=(x-y)2
答案
∵(x-y)2=0展开后为:x2+y2-2xy=0,
∴x2+y2=2xy.
故选A.
若(x-y)2=0,则下列成立的等式是( )
A.x2+y2=2xy
B.x2+y2=-2xy
C.x2+y2=0
D.(x+y)2=(x-y)2
∵(x-y)2=0展开后为:x2+y2-2xy=0,
∴x2+y2=2xy.
故选A.