(3) 解:原式=x²y-3xy²-6x²y-2xy²+2 =-5x²y-5xy²+2 (4) 解:原式=15a²b-5ab²+4ab²-12a²b =3a²b-ab² 6. 解:原式=3a²b-2a²b+12ab-a²b+4a²-11ab =4a²+ab 因为(a-2)²+|b+3|=0, 所以a-2=0,b+3=0, 所以a=2,b=-3, 所以原式=4×2²+2×(-3) =16-6 =10. 素养提升 7. (1) 解:B=2A-(4a²+3ab) =2(-3a²+3ab-3)-(4a²+3ab) =-6a²+6ab-6-4a²-3ab =-10a²+3ab-6. (2) 解: A-B=-3a²+3ab-3-(-10a²+3ab-6) =-3a²+3ab-3+10a²-3ab+6 =7a²+3. 因为α²≥0,所以7a²+3>0, 所以A-B>0,即A>B. |