计算 (1)a+2/a2−2a•a2−4a+4a+2 (2)(2x/x−2−x/x+2)÷x/x2−4.

问题描述:

计算
(1)

a+2
a2−2a
a2−4a+4
a+2

(2)(
2x
x−2
x
x+2
x
x2−4

(1)原式=

a+2
a(a−2)
(a−2)2
a+2

=
a−2
a

(2)原式=
2x(x+2)−x(x−2)
(x−2)(x+2)
(x+2)(x−2)
x

=
x(x+3)
(x+2)(x−2)
(x+2)(x−2)
x

=x+3.