Question

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

Answer 1

To find the correct option we need to calculate each of the given options.
Option (1):
$\frac{x+2}{x-3} / \frac{4}{x+2} = \frac{x+2}{x-3} * \frac{x+2}{4} = \frac{(x+2)^2}{4(x-3)}$

Option (2):
$\frac{x+2}{x-3} * \frac{4}{x+2} = \frac{4}{x-3}$

Option (3):
$\frac{x+2}{x-3} - \frac{4}{x+2} = \frac{(x+2)^2-4(x-3)}{(x-3)(x+2)}$

option (4)
$\frac{x+2}{x-3} + \frac{4}{x+2} = \frac{(x+2)^2+4(x-3)}{(x-3)(x+2)}$


So, the correct answer is option (2)

Answer 2

The second one where there is multiplication.