题目内容
直接写出化简结果:
(1)
=
;
(2)
=
;
(3)
=
(4)
=
;
(5)
=
;
(6)
=
.
(1)
| 4xy |
| 16x2y |
| 1 |
| 4x |
| 1 |
| 4x |
(2)
| a(a+b) |
| b(a+b) |
| a |
| b |
| a |
| b |
(3)
| x-y |
| (y-x)2 |
| 1 |
| x-y |
| 1 |
| x-y |
(4)
| ax+ay |
| x2-y2 |
| a |
| x-y |
| a |
| x-y |
(5)
| x2-16 |
| x2+8x+16 |
| x-4 |
| x+4 |
| x-4 |
| x+4 |
(6)
| x2-9 |
| 2x+6 |
| x-3 |
| 2 |
| x-3 |
| 2 |
分析:(1)(2)直接约分,(3)将分母中的x、y交换位置后再约分,(4)(5)(6)先因式分解再约分.
解答:解:(1)原式=
;
(2)原式=
;
(3)原式=
=
;
(4)原式=
=
;
(5)原式=
=
;
(6)原式=
=
.
故答案为
;
;
;
;
;
.
| 1 |
| 4x |
(2)原式=
| a |
| b |
(3)原式=
| x-y |
| (x-y)2 |
| 1 |
| x-y |
(4)原式=
| a(x+y) |
| (x-y)(x+y) |
| a |
| x-y |
(5)原式=
| (x-4)(x+4) |
| (x+4)2 |
| x-4 |
| x+4 |
(6)原式=
| (x-3)(x+3) |
| 2(x+3) |
| x-3 |
| 2 |
故答案为
| 1 |
| 4x |
| a |
| b |
| 1 |
| x-y |
| a |
| x-y |
| x-4 |
| x+4 |
| x-3 |
| 2 |
点评:本题考查了约分,找到分子、分母中的公因式是解题的关键.
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