问题 解答题
化简求值:[xy(1-x)-2x(y+
1
2
)]•2x2y+2x3y2(x+1),
其中x=-1,y=3.
答案

[xy(1-x)-2x(y+

1
2
)]•2x2y+2x3y2(x+1)

=[xy-x2y-2xy-x]•2x2y+2x4y2+2x3y2

=2x3y2-2x4y2-4x3y2-2x3y+2x4y2+2x3y2

=-2x3y,

当x=-1,y=3时,

原式=-2×(-1)3×3

=6.

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