问题 解答题
(1)
b
a
-
a
b

(2)
a
ab2
-
b
a2b

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

(4)m-2+
1
m-2

(5)
x
x-y
-
x
y

(6)
m-15
m2-9
-
3
3+m
答案

(1)原式=

b2-a2
ab

(2)原式=

a3-b3
a2b2

(3)原式=

a+b+a-b
(a-b)(a+b)

=

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

(4)原式=

(m-2)2+1
m-2

=

m2-4m+5
m-2

(5)原式=

xy
y(x-y)
-
x(x-y)
y(x-y)

=

xy-x2+xy
y(x-y)

=

x(2y-x)
y(x-y)

(6)原式=

m-15
(m+3)(m-3)
-
3(m-3)
(m+3)(m-3)

=

m-15-3m+9
(m+3)(m-3)

=

-2(m+3)
(m+3)(m-3)

=

2
3-m

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