问题 解答题
化简:
(1)
2a
a2-4
+
1
2-a

(2)
x2
x-1
+
1
1-x

(3)
a2-2a+1
a-1
-(a-2)

(4)
m
m-n
-
n
m+n
+
2mn
m2-n2
答案

(1)原式=

2a
(a+2)(a-2)
-
a+2
(a+2)(a-2)

=

2a-a-2
(a+2)(a-2)

=

a-2
(a+2)(a-2)

=

1
a+2

(2)原式=

x2
x-1
-
1
x-1

=

(x+1)(x-1)
x-1

=x+1;

(3)原式=(a-1)-(a-2)

=a-1-a+2

=1;

(4)原式=

m(m+n)-n(m-n)+2mn
(m+n)(m-n)

=

(m-n)2
(m+n)(m-n)

=

m-n
m+n

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