A、(x-
1
2 y)(x+
1
2 y)=x 2-
1
4 y 2,故本选项错误;
B、(3a-b)(-b-3a)=(b-3a)(b+3a)=b 2-9a 2,故本选项错误;
C、(100+2)(100-2)=100 2-2 2,故本选项错误;
D、(-y-x 2)(y+x 2)=-(y+x 2)(y+x 2)=-(y+x 2) 2,故本选项正确.
故选D.
A、(x-
1
2 y)(x+
1
2 y)=x 2-
1
4 y 2,故本选项错误;
B、(3a-b)(-b-3a)=(b-3a)(b+3a)=b 2-9a 2,故本选项错误;
C、(100+2)(100-2)=100 2-2 2,故本选项错误;
D、(-y-x 2)(y+x 2)=-(y+x 2)(y+x 2)=-(y+x 2) 2,故本选项正确.
故选D.