Question

Simplify the expression:
x+2/ x^2 -4 - (x - 2)

Answer 1

In order to simplify this expression, we can do the following steps:

`\begin{gathered} ((x-2)^2)/(x+2)\colon(x-2)/(x^2-4) \\ =((x-2)^2)/(x+2)\cdot\frac{x^2-4}{x-2_{}} \\ =((x-2)^2)/(x+2)\cdot(\mleft(x+2\mright)\mleft(x-2\mright))/(x-2) \\ =((x-2)^2)/(x+2)\cdot x+2 \\ =(x-2)^2 \end{gathered}`

So the correct option is C.