计算(a+1/a2−a+4/1−a2)÷a2+2a−3a+3
问题描述:
计算(
+a+1
a2−a
)÷4 1−a2
a2+2a−3 a+3
答
原式=[
+a+1 a(a−1)
]÷4 (1−a)(1+a)
(a+3)(a−1) (a+3)
=
÷(a-1)
(a+1)2−4a a(a+1)(a−1)
=
•(a−1)2 a(a+1)(a−1)
1 a−1
=
.1
a2+a
故答案为
.1
a2+a