问题 解答题
计算:
(1)
m
m-n
-
n
m+n
+
2mn
m2-n2
          
(2)(1-
a2+8
a2+4a+4
)÷
4a-4
a2+2a
答案

(1)原式=

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

=

m2+2mn+n2
(m+n)(m-n)

=

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

=

m+n
m-n

                                                        

(2)原式=

(a2+4a+4)-(a2+8)
(a+2)2
a(a+2)
4(a-1)

=

4(a-1)
(a+2)2
a(a+2)
4(a-1)

=

a
a+2

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