化简求值(1)计算:x2?1x+1?x2?xx2?2x+1;(2)先化简,再求值:(x+1-15x?1)÷x2?8x+161?x,其中x=2;

2025-04-28 19:53:25
推荐回答(1个)
回答1:

(1)原式=

(x+1)(x?1)
x+1
?
x(x?1)
(x?1)2

=(x-1)?
x
x?1

=x;

(2)原式=[
(x+1)(x?1)
x?1
-
15
x?1
]?
1?x
(x?4)2

=
(x+4)(x?4)
x?1
?
1?x
(x?4)2

=-
x+4
x?4

当x=2时,原式=-
2+4
2?4
=3;

(3)原式=
a+1
a
?
a
(a+1)(a?1)
-
2(a?1)
(a?1)2

=
1
a?1
-
2
a?1

=-
1
a?1

当a=2时,原式=-
1
2?1
=-1.