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用分式的基本性质填空:(1)3aa+b=6ab()(b≠0);(2)()x2−4y2=xx+2y;(3)6a2−2ab()=3a-b.

题目详情
用分式的基本性质填空:
(1)
3a
a+b
=
6ab
(     )
(b≠0);
(2)
(      )
x2−4y2
=
x
x+2y

(3)
6a2−2ab
(    )
=3a-b.
▼优质解答
答案和解析
(1)
3a
a+b
=
2b×3a
2b(a+b)
=
6ab
2(a+b)b

故答案是:2(a+b)b;

(2)
x
x+2y
=
x(x−2y)
(x+2y)(x−2y)
=
x(x−2y)
x2−4y2

故答案是:(x-2y);

(3)
6a2−2ab
2a
=3a-b.
故答案是:2a.