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.