Step-by-step explanation:
[tex]\dfrac{x^2-4}{x-2}[/tex]
Apply identity a²-b² = (a-b)(a+b)
So, it will be
[tex]\dfrac{(x-2)(x+2)}{x-2}[/tex]
Where x-2 gets cancelled from numerator and denominator.
Hence, x+2 is the answer.
Hope it helps :)