先化简,再求值:(1)2(x-y)-3(13x-2y-1),其中x=2011,y=-14.(2)-3(x2-xy)+2(x2+xy-1)+1其中x=12,y=-2.-数学

题目简介

先化简,再求值:(1)2(x-y)-3(13x-2y-1),其中x=2011,y=-14.(2)-3(x2-xy)+2(x2+xy-1)+1其中x=12,y=-2.-数学

题目详情

先化简,再求值:
(1)2(x-y)-3(
1
3
x-2y-1)
,其中x=2011,y=-
1
4

(2)-3(x2-xy)+2(x2+xy-1)+1  其中x=
1
2
,y=-2.
题型:解答题难度:中档来源:不详

答案

(1)2(x-y)-3(class="stub"1
3
x-2y-1)
=2x-2y-x+6y+3
=(2-1)x+(-2+6)y+3
=x+4y+3,
当x=2001,y=-class="stub"1
4
时,原式=2011+4×(-class="stub"1
4
)+3=2011-1+3=2003;

(2)-3(x2-xy)+2(x2+xy-1)+1
=-3x2+3xy+2x2+2xy-2+1
=(-3+2)x2+(3+2)xy+(-2+1)
=-x2+5xy-1,
当x=class="stub"1
2
,y=-2时,原式=-(class="stub"1
2
)2+5×class="stub"1
2
×(-2)-1=-class="stub"1
4
-5-1=-class="stub"25
4

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