右边=[a(2x-3)+b(x+2)]/(x+2)(2x-3)
=(2a+b)x+(2b-3a)]/(x+2)(2x-3)
=(5x-11)/(x+2)(2x-3)
所以(2a+b)x+(2b-3a)=5x-11
所以2a+b=5
2b-3a=-11
解得a=3,b=-1
右边=[a(2x-3)+b(x+2)]/(x+2)(2x-3)
=(2a+b)x+(2b-3a)]/(x+2)(2x-3)
=(5x-11)/(x+2)(2x-3)
所以(2a+b)x+(2b-3a)=5x-11
所以2a+b=5
2b-3a=-11
解得a=3,b=-1