先化简,再求值,(1)4x2y-[6xy-3(4xy-2)-x2y]+1,其中x=2,y=-12;(2)已知(a+2)2+(3b-3)2=0,求3a2b-[2ab2-6(ab-12a2b)+4ab]-

题目简介

先化简,再求值,(1)4x2y-[6xy-3(4xy-2)-x2y]+1,其中x=2,y=-12;(2)已知(a+2)2+(3b-3)2=0,求3a2b-[2ab2-6(ab-12a2b)+4ab]-

题目详情

先化简,再求值,
(1)4x2y-[6xy-3(4xy-2)-x2y]+1,其中x=2,y=-
1
2

(2)已知(a+2)2+(3b-3)2=0,求3a2b-[2ab2-6(ab-
1
2
a2b)+4ab]-2ab
 的值.
题型:解答题难度:中档来源:不详

答案

解析 (1)4x2y-(6xy-12xy+6-x2y)+1
=4x2y-6xy+12xy-6+x2y+1
=5x2y+6xy-5,
当x=2,y=-class="stub"1
2
时,原式=22×(-class="stub"1
2
)+6×2×(-class="stub"1
2
)-5
=-10-6-5=-21.

(2)原式=3a2b-(2ab2-6ab+3a2b+4ab)-2ab
=3a2b-2ab2+6ab-3a2b-4ab-2ab
=-2ab2,
∵(a+2)2+(3b-3)2=0,
∴a+2=0,且3b-3=0,
∴a=-2,且b=l,
当a=-2,b=1时,原式=-2×(-2)×12=4.

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