问题
选择题
现对“a&b”运算作如下定义:“a&b=a+2b”,例如:x2&y3=x2+2y3,那么(xy+x2y)&(x2y-xy)的运算结果是( )
A.3x2y+xy
B.3x2y-3xy
C.3x2y+3xy
D.3x2y-xy
答案
由题意,得(xy+x2y)&(x2y-xy)
=(xy+x2y)+2(x2y-xy)
=xy+x2y+2x2y-2xy
=-xy+3x2y.
故选D.
现对“a&b”运算作如下定义:“a&b=a+2b”,例如:x2&y3=x2+2y3,那么(xy+x2y)&(x2y-xy)的运算结果是( )
A.3x2y+xy
B.3x2y-3xy
C.3x2y+3xy
D.3x2y-xy
由题意,得(xy+x2y)&(x2y-xy)
=(xy+x2y)+2(x2y-xy)
=xy+x2y+2x2y-2xy
=-xy+3x2y.
故选D.