问题 解答题
先化简,后求值
(1)5a2-3a+6-4a2+7a,其中a=-
1
2

(2)2x-y-(2y2-x2)-5x+y+(x2+2y2),x=-1,y=1.
答案

(1)5a2-3a+6-4a2+7a

=5a2-4a2+(-3a+7a)+6

=a2+4a+6,

当a=-

1
2
时,原式=(-
1
2
2+4×(-
1
2
)+6=
1
4
-2+6=
17
4

(2)2x-y-(2y2-x2)-5x+y+(x2+2y2

=2x-y-2y2+x2-5x+y+x2+2y2

=(2x-5x)+(-y+y)+(-2y2+2y2)+(x2+x2

=-3x+2x2

当x=-1,y=1时,原式=-3×(-1)+2×(-1)2=3+2=5.

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