若a、b互为相反数,且ab≠0,则b除以a(a+1)+a除以b(b+1)的值是多少？?????

b÷[a(a+1)]+a÷[b(b+1)] =-a÷[a(a+1)]-b÷[(b+1)] =-1÷(a+1)-1÷(b+1) =-1/a+1-1/1-a =(通分)(a-1/1-a²)-(1+a/1-a²) =a-1-1-a/1-a² =-2/1-a² =2/a²-1