问题 计算题

化简:(1)3x2﹣1﹣2x﹣5+3x﹣x2

(2)a﹣(3a﹣2)+(2a﹣3)

(3)3a2﹣2(2a2+a)+2(a2﹣3a),其中a=﹣2;

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

答案

解:(1)原式=(3﹣1)x2+(3﹣2)x﹣(5+1)

=2x2+x﹣6;

(2)原式=a﹣3a+2+2a﹣3=﹣1;

(3)3a2﹣2(2a2+a)+2(a2﹣3a)

=3a2﹣4a2﹣2a+2a2﹣6a

=a2﹣8a,

当a=﹣2时,原式=(﹣2)2﹣8×(﹣2)=20;

(4)∵(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=﹣32﹣2(﹣2)2=﹣17.

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