Answer:
Option A - [tex]\frac{1}{(x-4)}[/tex]
Step-by-step explanation:
Given : Expression [tex]\frac{x-5}{(x-4)(x-5)}[/tex]
To find : Which expression is equivalent to given expression
Solution :
Step - 1 : Write the expression
[tex]=\frac{x-5}{(x-4)(x-5)}[/tex]
Step -2 : Factor (x-5) cancel out from numerator and denominator
[tex]=\frac{1}{(x-4)}[/tex]
Therefore, Option A is correct.
[tex]\frac{x-5}{(x-4)(x-5)}=\frac{1}{x-4}[/tex]
