问题
解答题
(1)请从下 * * 个代数式中任选两个构造一个分式,并化简该分式.a2-1,ab-b,b+ab. (2)先化简,再求值:(
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答案
(1)
=a2-1 ab-b
=(a+1)(a-1) b(a-1)
;a+1 b
=a2-1 b+ab
=(a+1)(a-1) b(1+a)
;a-1 b
=ab-b a2-1
=b(a-1) (a+1)(a-1)
;b a+1
=ab-b b+ab
=b(a-1) (a+1)b
;a-1 a+1
=b+ab a2-1
=b(a+1) (a+1)(a-1)
;b a-1
=b+ab ab-b
=b(a+1) b(a-1)
.a+1 a-1
(2)原式=
÷a2-4+4 (a-2)2 a a-2
=
×a2 (a-2)2 a-2 a
=
.a a-2
当a=
时,原式=1 2
=-1 2
-21 2
.1 3