(a+b/a−b)2•2a−2b3a+3b-a2a2−b2÷a/b

问题描述:

(

a+b
a−b
)2
2a−2b
3a+3b
-
a2
a2b2
÷
a
b

原式=

(a+b)2
(a−b)2
×
2(a−b)
3(a+b)
-
a2
(a+b)(a−b)
×
b
a

=
2(a+b)
3(a−b)
-
ab
(a+b)(a−b)

=
2(a+b)2−3ab
3(a+b)(a−b)

=
2a2+ab+2b2
3(a+b)(a−b)

故答案为
2a2+ab+2b2
3(a+b)(a−b)