This is a problem of Difference-of-squares. We know that for a difference of squares [tex]a^2-b^2[/tex] the factorization is given by:
[tex](a-b)(a+b)[/tex]
To learn this you need to remember that a difference means subtraction. So applying those concepts we can solve this problem step by step.
Applying distributive property:
[tex](2n)(2n-2)+2(2n-2)[/tex]
Applying distributive property again:
[tex]4n^2-4n+4n+4[/tex]
Simplifying:
[tex]4n^2-4[/tex]
The correct answer is C
