通分: (1)1/3xy3,1/2x2y,1/9x3y, (2)1/(a+b)2,2/−a+b,3/a2−b2.

问题描述:

通分:
(1)

1
3xy3
1
2x2y
1
9x3y

(2)
1
(a+b)2
2
−a+b
3
a2b2

解(1)∵最简公分母是18x3y3

1
3xy3
=
6x2
3xy3•6x2
=
6x2
18x3y3
1
2x2y
=
9xy2
2x2y•9xy2
=
9xy2
18x3y3
1
9x3y
=
2y2
9x3y•2y2
=
2y2
18x3y3

(2)∵最简公分母是(a-b)(a+b)2
1
(a+b)2
=
a−b
(a+b)2(a−b)
2
−a+b
=-
2
a−b
=
2(a+b)2
(a+b)2(a−b)
3
a2b2
=
3
(a+b)(a−b)
=
3(a+b)
(a+b)2(a−b)