问题 解答题

化简或求值(本题满分16分,5+5+6):

(1)2x2-2+3x-1-2x-x2;           

(2)a2-(3a2-b2)-3(a2-2b2

(3)已知:(x-3)2+|y+2|=0,求代数式2x2+(-x2-2xy+2y2)-2(x2-xy+2y2)的值.

答案

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

=x2+x-3;

(2)原式=a2-3a2+b2-3a2+6b2

=-5a2+7b2

(3)∵(x-3)2+|y+2|=0,

∴x=3,y=-2,

2x2+(-x2-2xy+2y2)-2(x2-xy+2y2

=2x2-x2-2xy+2y2-2x2+2xy-4y2

=-x2-2y2

当x=3,y=-2时,原式=-17.

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