问题 解答题
(1)计算:(a-b+
b2
a+b
)•
a+b
a

(2)先化简,再求值:(
x-1
x
-
x-2
x+1
)÷
2x2-x
x2+2x+1
,其中x满足x2-x-1=0.
答案

(1)原式=

a2
a+b
a+b
a

=a;

  

(2)原式=

x2-1-x2+2x
x(x+1)
÷
x(2x-1)
(x+1)2

=

2x-1
x(x+1)
×
(x+1)2
x(2x-1)

=

x+1
x2

∵x2-x-1=0,

∴x2=x+1,

∴原式=

x+1
x+1
=1.

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