问题 解答题
判断对错并写出正确的计算结果.
(1)
a+b
a
-
a-b
a
=
a+b-a-b
a

(2)
x
(x-1)2
+
1
(1-x)2
=
x
(x-1)2
-
1
(x-1)2
=
x-1
(x-1)2
=
1
x-1

(3)
1
xy2
+
1
2y2
=
1
2(x2+y2)

(4)
c
a+b
+
c
a-b
=
2c
a2+b2
答案

(1)错误,

正确解法为:原式=

a+b-(a-b)
a
=
2b
a

(2)错误,

正确解法为:原式=

x
(x-1)2
+
1
(x-1)2
=
x+1
(x-1)2

(3)错误,

正确解法为:原式=

2+x
2xy2

(4)错误,

正确解法为:原式=

c(a-b)+c(a+b)
(a+b)(a-b)
=
2ac
a2-b2

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