题目内容

计算下列各题:
(1)
1
x-1
-
1
1+x
-
2
x2+1
-
4
x4+1
-
8
x8+1

(2)
3x2+9x+7
x+1
-
2x2-4x+3
x-1
-
x3+x+1
x2-1

(3)
b-c
a2-ab-ac+bc
-
c-a
b2-bc-ab+ac
+
a-b
c2-ac-bc+ab
(1)
1
x-1
-
1
1+x
-
2
x2+1
-
4
x4+1
-
8
x8+1

=
2
x2-1
-
2
x2+1
-
4
x4+1
-
8
x8+1

=
4
x4-1
-
4
x4+1
-
8
x8+1

=
8
x8-1
-
8
x8+1

=
16
x16-1


(2)
3x2+9x+7
x+1
-
2x2-4x+3
x-1
-
x3+x+1
x2-1

=(3x+6)+
1
x+1
-(2x-2)-
1
x-1
-x-
2x+1
x2-1

=8+
1
x+1
-
1
x-1
-
2x+1
x2-1

=8-
2x+3
x2-1


(3)
b-c
a2-ab-ac+bc
-
c-a
b2-bc-ab+ac
+
a-b
c2-ac-bc+ab

=
b-c
(a-b)(a-c)
-
c-a
(b-c)(b-a)
+
a-b
(c-a)(c-b)

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

=-
2
a-c
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