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？?????

显示全部楼层 · 2011-9-24 02:00:46

ab 为相反数则 a+b=0a= -bb/a(a+1)= -a/a(a+1)= -1/a+1
a/b(b+1)= -b/b(b+1)=-1/b+1b/a(a+1) + a/b(b+1)= (-1/a+1) + (-1/b+1) = -(b+1+a+1)/(a+1)(b+1)=-2/(ab+a+ab+b) = -2/2ab = -1/ab...

千问 · 2011-9-24 02:00:46

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...

千问 · 2011-9-24 02:00:46

a=-bb/a(a+1)+a/b(b+1)=-a/a(a+1)-b/b(b+1)=-1/(a+1)-1/(b+1)=-1/(a+1)-1/(1-a)=(a+1-a+1)/(a2-1)=2/(a2-1)...