Answer:
option D

Step-by-step explanation:
Given in the question an expression

Step 1
Use Algebraic Formula
a² - b² = (a-b)(a+b)
k² - 4 = k² - (2)² = (k-2)(k+2)

Step 2
Cancel(k-2) from both numerator and denometor

Step 3
Use Distributive Law
a(b+c) = (ab + ac)
4k + 2 = 2(2k+1)

Step 4
Cancel(2k+1) from both numerator and denometor

Step 5
Simplified form is
