问题 解答题
化简下列各式:
(1)
x-2+y-2
x-
2
3
+y-
2
3
-
x-2-y-2
x-
2
3
-y-
2
3

(2)
a
4
3
-8a
1
3
b
a
2
3
+2
3ab
+4b
2
3
÷(1-2
3
b
a
答案

(1)原式=

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

=(x-

2
3
)2-x-
2
3
y-
2
3
+(y-
2
3
)2
-[(x-
2
3
)2+x-
2
3
y-
2
3
+(y-
2
3
)2]

=-2x-

2
3
y-
2
3

(2)原式=

a
1
3
(a-8b)
(a
1
3
)2+2a
1
3
b
1
3
+(2b
1
3
)2
a
1
3
a
1
3
-2b
1
3
a
1
3

=

a(a-8b)
(a
1
3
)3-(2b
1
3
)3

=a.

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