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计算:①2a+3a=5a5a,②ba−cb=b2−acabb2−acab,③(-3b2a)2=9b24a29b24a2,④1x−1y=y−xxyy−xxy,⑤2aa−b+a+bb−a=⑥x2−1(x+1)2=()x+1;x−1x+1x−1x+1,⑦a2a+3-9a+3=;⑧aa−b+bb−a=.

题目详情
计算:①
2
a
+
3
a
=
5
a
5
a
,②
b
a
c
b
=
b2−ac
ab
b2−ac
ab
,③(-
3b
2a
2=
9b2
4a2
9b2
4a2
,④
1
x
1
y
=
y−x
xy
y−x
xy
,⑤
2a
a−b
+
a+b
b−a
=______⑥
x2−1
(x+1)2
()
x+1
x−1
x+1
x−1
x+1
,⑦
a2
a+3
-
9
a+3
=______;⑧
a
a−b
+
b
b−a
=______.
▼优质解答
答案和解析
2
a
+
3
a
=
5
a

b
a
c
b
=
b2−ac
ab

③(-
3b
2a
2=
9b2
4a2

1
x
1
y
=
y−x
xy

2a
a−b
+
a+b
b−a
=
2a−a−b
a−b
=
a−b
a−b
=1;
x2−1
(x+1)2
=
(x+1)(x−1)
(x+1)2
=
x−1
x+1

a2
a+3
-
9
a+3
=
a2−9
a+3
=
(a+3)(a−3)
a+3
=a-3;
a
a−b
+
b
b−a
=
a
a−b
-
b
a−b
=
a−b
a−b
=1.
故答案是:
5
a
b2−ac
ab
9b2
4a2
y−x
xy
x−1
x+1
,1,a-3,1.