问题
解答题
(1)化简
(2)已知x+y=12,xy=9,且0<x<y,求
|
答案
(1)原式=(a
•a-9 2
)3 2
÷(a-1 3
•a7 3
)13 3
=(a3)1 2
÷(a2)1 3
=a÷a=1;1 2
(2)号
=x
-y1 2 1 2 x
+y1 2 1 2
=(
-x
)2y (
+x
)(y
-x
)y
,x+y-2 xy x-y
∵x+y=12,xy=9,且0<x<y,
∴x-y=-
=-(x-y)2
=-(x+y)2-4xy
=-6122-4×9
;3
∴
=x
-y1 2 1 2 x
+y1 2 1 2
=x+y-2 xy x-y
=-12-2×3 -6 3
.3 3