若|x+y-5|与(x-y-1)2互为相反数,则x2-y2的值为( )
A.-5 B.5 C.13 D.15
由题可得x+y-5=0,x-y-1=0
即x+y=5,x-y=1
x²-y²=(x+y)(x-y)=5×1=5
选B