问题 解答题
计算:
(1)
b
a-b
+
a
a+b
-
2ab
b2-a2

(2)(
2x
x-3
-
x
x+3
)•
x2-9
x
答案

(1)原式=

ab+b2
a2-b2
+
a2-ab
a2-b2
+
2ab
a2-b2
=
(a+b)2
(a+b)(a-b)
=
a+b
a-b

(2)原式=

2x
x-3
(x+3)(x-3)
x
-
x
x+3
(x+3)(x-3)
x

=2(x+3)-(x-3)=2x+6-x+3=x+9.

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