约分: (1)2ax2y3axy2; (2)−2a(a+b)3b(a+b); (3)x2−4xy+2y; (4)(a−x)2(x−a)3; (5)4y2−x2−x2+4xy−4y2.

问题描述:

约分:
(1)

2ax2y
3axy2

(2)
−2a(a+b)
3b(a+b)

(3)
x2−4
xy+2y

(4)
(a−x)2
(x−a)3

(5)
4y2x2
x2+4xy−4y2

(1)

2ax2y
3axy2
=
2x
3y

(2)
−2a(a+b)
3b(a+b)
=-
2a
3b

(3)
x2−4
xy+2y
=
(x+2)(x−2)
y(x+2)
=
x−2
y

(4)
(a−x)2
(x−a)3
=
(x−a)2
(x−a)3
=
1
x−a

(5)
4y2x2
x2+4xy−4y2
=
(2y+x)(2y−x)
−(x−2y)2
=
(2y+x)(2y−x)
−(2y−x)2
=
2y+x
x−2y