问题 解答题

化简

(1)6xy-10x2-5yx+7x2

(2)(3x2-2)-3(4x2-2x-3)+2(2x2-1)

(3)先化简,再求值:3x2y-[2x2y-3(2xy-x2y)-xy],其中x=-1,y=-2.

答案

(1)6xy-10x2-5yx+7x2=xy-3x2;   

(2)(3x2-2)-3(4x2-2x-3)+2(2x2-1)

=3x2-2-12x2+6x+9+4x2-2

=-5x2+6x+5;

(3)3x2y-[2x2y-3(2xy-x2y)-xy]=3x2y-2x2y+6xy-3x2y+xy

=-2x2y+7xy,

当x=-1,y=-2时,

原式=-2×(-1)2×(-2)+7×(-1)×(-2)=18.

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