已知3x-4/[(x+3)(x-2)]=A/(x+3)-B/x-2(A、B为整数）则A=?B=?是我打错题了 是3x+4/[(x+3)(x-2)]=A/(x+3)-B/x-2(A、B为整数）则A=?B=?不过我会做了

已知3x-4/[(x+3)(x-2)]=A/(x+3)-B/x-2(A、B为整数）则A=?B=?是我打错题了 是3x+4/[(x+3)(x-2)]=A/(x+3)-B/x-2(A、B为整数）则A=?B=?不过我会做了
已知3x-4/[(x+3)(x-2)]=A/(x+3)-B/x-2(A、B为整数）则A=?B=?
是我打错题了 是3x+4/[(x+3)(x-2)]=A/(x+3)-B/x-2(A、B为整数）则A=?B=?不过我会做了

已知3x-4/[(x+3)(x-2)]=A/(x+3)-B/x-2(A、B为整数）则A=?B=?是我打错题了 是3x+4/[(x+3)(x-2)]=A/(x+3)-B/x-2(A、B为整数）则A=?B=?不过我会做了
右边通分=[A(x-2)-B(x+3)]/(x+3)(x-2)
=[(A-B)x-(2A+3B)]/(x+3)(x-2)
=(3x+4)/(x+3)(x-2)
(A-B)x-(2A+3B)=3x+4
所以
A-B=3
2A+3B=-4
A=1,B=-2