Which of the following is equal to the rational expression below when x≠2 or 9?

Answer:
To find the expression equal to the rational expression below when x≠2 or 9
[tex]\frac{4(x-2)}{(x-2)(x-9)}[/tex]Since it is given that x is not equal to 2 and 9, the rational expression will exist,
we get for any value of x, (x-2) get cancelled in numerator and denominator.
we get,
[tex]=\frac{4}{(x-9)}[/tex]Answer is: option D:
[tex]=\frac{4}{(x-9)}[/tex]