问题 填空题
已知:
2x-3
(x-1)(x+2)
=
A
x-1
+
B
x+2
,则A=______,B=______.
答案

2x-3
(x-1)(x+2)
=
A
x-1
+
B
x+2
=
A(x+2)+B(x-1)
(x-1)(x+2)

=

(A+B)x+2A-B
(x-1)(x+2)

A+B=2
2A-B=-3
解得
A=-
1
3
B=
7
3

单项选择题
多项选择题