原式=3x3+(3b-2)x2+(-2b+1)x+b,∵不含x2项,∴3b-2=0,得b= 2 3 ,∴(3x2-2x+1)(x+ 2 3 )=3x3-2x2+x+2x2- 4 3 x+ 2 3 ,=3x3- 1 3 x+ 2 3 .故答案为:3x3- 1 3 x+ 2 3 .