Question

Simplify the complex rational expression by the method of your choice. 1——x-6———-1 - 1 —- x-6

Answer 1

To find:

The simplified form of the rational expression.

Solution:

The given rational expression can be simplified as follows:

`\begin{gathered} ((1)/(x-6))/(1-(1)/(x-6))=((1)/(x-6))/((x-6-1)/(x-6)) \\ =(1(x-6))/((x-6)(x-7)) \\ =(1)/(x-7) \end{gathered}`

Thus, the answer is:

`(1)/(x-7)`