问题 解答题
计算(1)
a2
a+1
-
1
a+1
(2)
a-1
a2-4a+4
×
a2-4
2a-2

(3)m+2-
4
2-m
(4)(
x
x+y
+
2y
x+y
)•
xy
x+2y
÷(
1
x
+
1
y
)
答案

(1)

a2
a+1
-
1
a+1
=
a2-1
a+1
=
(a+1)(a-1)
a+1
=a-1;

(2)

a-1
a2-4a+4
×
a2-4
2a-2
=
a-1
(a-2)2
×
(a+2)(a-2)
2(a-1)
=
a+2
2(a-2)

(3)m+2-

4
2-m
=
m2-4+4
m-2
=
m2
m-2

(4)(

x
x+y
+
2y
x+y
)•
xy
x+2y
÷(
1
x
+
1
y
)=
x+2y
x+y
xy
x+2y
xy
x+y
=
x2y2
(x+y)2

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