Answer:
[tex]\Large \boxed{\mathrm{\bold{C.}} \ (10x-1)^2}[/tex]
Step-by-step explanation:
[tex]100x^2- 20x+1[/tex]
Rewriting -20x as -10x-10x.
[tex]100x^2- 10x-10x+1[/tex]
Factoring the two groups.
[tex]10x(10x-1)-1(10x-1)[/tex]
Taking (10x - 1) as a common factor.
[tex](10x-1)(10x-1)[/tex]
[tex](10x-1)^2[/tex]