Question

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

Answer 1

To find the expression equal to the rational expression below when x≠2 or 9

`(4(x-2))/((x-2)(x-9))`

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,

`=(4)/((x-9))`

Answer is: option D:

`=(4)/((x-9))`