题目内容
化简,再求值:
(1)-
(-4x2-x-8y)+2(
x-y),其中x=
,y=-3;
(2)已知x2+y2=5,xy=2,求代数式(2x2+xy+3y2)-(x2-xy+2y2)的值.
(1)-
| 1 |
| 4 |
| 1 |
| 2 |
| 1 |
| 2 |
(2)已知x2+y2=5,xy=2,求代数式(2x2+xy+3y2)-(x2-xy+2y2)的值.
(1)原式=x2+
x+2y+x-2y
=x2+
x,
当x=
,y=-3时,原式=
+
=
;
(2)原式=2x2+xy+3y2-x2+xy-2y2=x2+2xy+y2,
当x2+y2=5,xy=2时,原式=5+4=9.
| 1 |
| 4 |
=x2+
| 5 |
| 4 |
当x=
| 1 |
| 2 |
| 1 |
| 4 |
| 5 |
| 8 |
| 7 |
| 8 |
(2)原式=2x2+xy+3y2-x2+xy-2y2=x2+2xy+y2,
当x2+y2=5,xy=2时,原式=5+4=9.
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