对于有理数a、b,规定ab=3a+2b,则[(x+y)(x-y)]3x,化简后是多少?
解:由题意,得[(x+y)(x-y)]3x=[3(x+y)+2(x-y)]3x=[3x+3y+2x-2y]3x=[5x+y]3x=3(5x+y)+2×(3x)=15x+3y+6x=21x+3y.