[a-b]/[(a^-1)-(b^-1)]怎么化简?

问题描述:

[a-b]/[(a^-1)-(b^-1)]怎么化简?


(a-b)/[(a^-1)-(b^-1)]
=(a-b)/(1/a-1/b)
=(a-b)/[(b-a)/ab]
=(a-b)×[ab/(b-a)]
=-ab