x-3/x-2乘于(X+2 -5/x-2)的负一次方

问题描述:

x-3/x-2乘于(X+2 -5/x-2)的负一次方
如题

原式=[(x-3)/(x-2)]÷{[(x+2)(x-2)-5]/(x-2)}
=[(x-3)/(x-2)]×[(x-2)/(x²-9)]
=[(x-3)/(x-2)]×[(x-2)/(x+3)(x-3)]
=1/(x+3)