问题 解答题
先化简,再求值.
(1)(3a3-2a2+a-1)-(4a3-2a2+3a+2),其中a=-1.
(2)3x2y-[2xy2-2(xy-
3
2
x2y)+xy]+3xy2
,其中x=3,y=-
1
3
答案

(1)(3a3-2a2+a-1)-(4a3-2a2+3a+2)

=3a3-2a2+a-1-4a3+2a2-3a-2

=-a3-2a-3;

当a=-1时,原式=-a3-2a-3=-(-1)3-2×(-1)-3=0;

(2)3x2y-[2xy2-2(xy-

3
2
x2y)+xy]+3xy2

=3x2y-[2xy2-2xy+3x2y+xy]+3xy2

=3x2y-2xy2+2xy-3x2y-xy+3xy2

=xy2+xy;

x=3,y=-

1
3
时,原式=xy2+xy=3×(-
1
3
)2+3×(-
1
3
)=
1
3
-1=-
2
3

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