问题 解答题
计算:
(1)
b
a
-
b+1
a
(2)
(a-2b)2
ab
-
(a+2b)2
ab
(3)
x2-y
(x-3)2
-
9-y
(3-x)2
(4)
a2-1
a2-2a
+
4a-5
2a-a2
答案

(1)

b
a
-
b+1
a
=
b-b-1
a
=-
1
a

(2)

(a-2b)2
ab
-
(a+2b)2
ab
=
(a-2b)2-(a+2b)2
ab
=
a2-4ab+4b2-a2-4ab-4b2
ab
=-8;

(3)

x2-y
(x-3)2
-
9-y
(3-x)2
=
x2-y
(x-3)2
-
9-y
(x-3)2
=
x2-y-9+y
(x-3)2
=
(x+3)(x-3)
(x-3)2
=
x+3
x-3

(4)

a2-1
a2-2a
+
4a-5
2a-a2
=
a2-1
a(a-2)
-
4a-5
a(a-2)
=
a2-4a+4
a(a-2)
=
(a-2)2
a(a-2)
=
a-2
a

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