问题 解答题
化简下列各式:
(1)
250a3b
(b<0);(2)
343x4y3
(y>0);
(3)
(3-π)2
;(4)
1-6x+9x2
(x≥
1
3
)

(5)
(x-3)2
+
(1-x)2
(1<x<3).
答案

(1)∵b<0,250a3b≥0,

∴a3≤0,即a≤0,因此

250a3b
=
25×10a2•ab
=5|a|
10ab
=-5a
10ab

(2)∵y>0,∴

343x4y3
=
72×7(x2)2y2• y
=7x2•|y|
7y
=7x2y
7y

(3)∵π>3,则3-π<0

(3-π)2
=π-3

(4)∵x≥

1
3
,则1-3x≤0

1-6x+9x2
=
(1-3x)2
=|1-3x|=3x-1

(5)∵1<x<3 则有x-3<0,1-x<0

(x-3)2
+
(1-x)2
=|x-3|+|1-x|=3-x+x-1=2

单项选择题 共用题干题
判断题