(3x+5)/(x^2-4)=a/(x-2)+b/(x+2)(3x+5)/(x^2-4)=[a(x+2)+b(x-2)]/(x²-4）(3x+5)/(x^2-4)=【（a+b）x+（2a-2b）】/(x²-4）所以：a+b=32a-2b=5解得：a=11/4 ,b=1/4a²+b²=122/16=61/8...