Question

Select the rational expression that is equivalent to the given expression below. 4/x-3

Answer 1

the second one where there is multiplication.

Answer 2

To find the correct option we need to calculate each of the given options.
Option (1):

`(x+2)/(x-3) / (4)/(x+2) = (x+2)/(x-3) * (x+2)/(4) = ((x+2)^2)/(4(x-3))`

Option (2):

`(x+2)/(x-3) * (4)/(x+2) = (4)/(x-3)`

Option (3):

`(x+2)/(x-3) - (4)/(x+2) = ((x+2)^2-4(x-3))/((x-3)(x+2))`

option (4)

`(x+2)/(x-3) + (4)/(x+2) = ((x+2)^2+4(x-3))/((x-3)(x+2))`


So, the correct answer is option (2)