问题
解答题
化简求值 (1)(9a2-12ab+5b2)-(7a2+12ab+7b2),其中a=
(2)已知|x+2|+(3x-2)2=0,求
|
答案
(1)原式=9a2-12ab+5b2-7a2-12ab-7b2
=(9-7)a2+(-12-12)ab+(5-7)b2
=2a2-24ab-2b2,
当中a=
,b=1 2
时,1 2
原式=2×(
)2-24×1 2
×1 2
-2×(1 2
)2,1 2
=2×
-6-1 4 1 2
=
-6-1 2 1 2
=-6.
(2)∵|x+2|+(3x-2)2=0,
∴x+2=0,3y-2=0,
∴x=-2,y=
,2 3
原式=
x-2x+1 2
y2-2 3
x+3 2
y21 3
=(
-2-1 2
)x+(3 2
+2 3
)y21 3
=-3x+y2.
当x=-2,y=
时,2 3
原式=-3×(-2)+(
)22 3
=6+4 9
=6
.4 9